平方根計算機 - ステップと例付きの無料オンライン計算機

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Practice More Type your Answer Verify x^2 x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div x^{\circ} \pi \left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x) ▭\:\longdivision{▭} \times \twostack{▭}{▭} + \twostack{▭}{▭} - \twostack{▭}{▭} \left( \right) \times \square\frac{\square}{\square} Take a challenge Subscribe to verify your answer Subscribe Are you sure you want to leave this Challenge? 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Go back Purchase Bundle Back to School Promotion Annual Annual - $ % OFF Annual plan One time offer for one year, then $ Go back + qb-banner-title Solutions > Pre Algebra Calculator > Square Root Calculator Topic Pre Algebra Order of Operations Two-step without parentheses Two-step with parentheses Three/four steps without parentheses Three/four steps with parentheses Multi-step without parentheses Multi-step with parentheses Factors & Primes LCM GCF Prime Factorization Factors Negative Factors Positive Factors Odd Factors Even Factors Biggest Factor Fractions Equivalent Fractions Reduce Add, Subtract Add, Subtract Like Denominators Add, Subtract Unlike Denominators Multiply Multiply with Whole Number Divide Divide with Whole Number Compare Mixed Numbers Complex Fractions Improper Fractions Reciprocal Negative Reciprocal Long Arithmetic Long Addition Long Subtraction Long Multiplication Long Division Long Division with Remainder Decimals Add/Subtract Multiplication Division Decimal to Fraction Fraction to Decimal Rounding Repeating Decimal Exponents & Radicals Multiplication Powers Division Negative Exponent Square Root Cube Root Ratios & Proportions Ratios Ratios Compare Is Proportional Unit Rate Percent Modulo Power Mod Negative Power Mod Modulo Congruence with Variables Number Line Expanded Form Mean, Median & Mode Mean Median Mode Algebra Pre Calculus Calculus Functions Linear Algebra Trigonometry Statistics Physics Chemistry Finance Economics Conversions Add to Chrome Get our extension, you can capture any math problem from any website Full pad x^2 x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div x^{\circ} \pi \left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x) - \twostack{▭}{▭} \lt 7 8 9 \div AC + \twostack{▭}{▭} \gt 4 5 6 \times \square\frac{\square}{\square} \times \twostack{▭}{▭} \left( 1 2 3 - x ▭\:\longdivision{▭} \right) . 0 = + y \mathrm{lcm} \mathrm{gcf} \mathrm{factors} \mathrm{long\:addition} \mathrm{scientific} See All area asymptotes critical points derivative domain eigenvalues eigenvectors expand extreme points factor implicit derivative inflection points intercepts inverse laplace inverse laplace partial fractions range slope simplify solve for tangent taylor vertex geometric test alternating test telescoping test pseries test root test Go Steps Graph Related Examples Generated by AI AI explanations are generated using OpenAI technology. AI generated content may present inaccurate or offensive content that does not represent Symbolab's view. Verify your Answer Subscribe to verify your answer Subscribe Save to Notebook! Sign in to save notes Sign in Verify Save Show Steps Hide Steps Number Line Related Square Root Examples \sqrt{64} \sqrt{9} \sqrt{36} \sqrt{100} Show More All About Square Root Calculator Square roots can seem mysterious. That little √ symbol shows up in math problems like it expects us to just get it. But really, square roots are just the opposite of squaring a number, and they show up everywhere — in geometry, algebra, physics, even finance. The Symbolab Square Root Calculator helps make sense of it all by simplifying, solving, and showing you every step along the way. What Is a Square? Before we talk about square roots, it helps to understand what a square is in math. To square a number means to multiply it by itself. $4^2 = 4 \times 4 = 16$ In words: four squared is sixteen. We call it “squaring” because if you made a square with sides of length 4 units, the area inside that square would be 16 square units. This connection between numbers and geometry is where the name comes from. Here are a few more examples: $3^2 = 9$, $10^2 = 100$, $(-4)^2 = 16$ Even negative numbers become positive when squared because a negative times a negative equals a positive. Why Does a Negative Times a Negative Equal a Positive? This is a really common question, and a good one. Think about multiplication as movement on a number line. A positive number pushes you to the right. A negative number flips your direction. So if you do a negative times a negative, it’s like flipping directions twice — which brings you back to the original direction: positive. Still confused? Try this: Imagine you're reversing your bike 3 miles backwards every day for 2 days. That’s: $-3 \times 2 = -6$ You went 6 miles in reverse that makes sense. Now imagine we go back in time 2 days. If you ask, "Where was the bike before it went backwards 3 miles per day?" the math flips again: $-3 \times -2 = 6$ We’re reversing a reverse, and we end up moving forward. That’s why: $(-5)^2 = (-5) \times (-5) = 25$ Two negatives make a positive when you multiply them. What Is a Square Root? If squaring a number means multiplying it by itself, then taking the square root means asking the reverse question: “What number was multiplied by itself to get this?” It’s like playing math detective, working backwards to figure out what caused the result. For example: $49 = 7^2$ because $7 \times 7 = 49$ That √ symbol is called a radical, and the number inside it is the radicand. When you take the square root of a number, you're looking for the value that was squared to get it. Now here’s something important: the square root symbol always gives you the principal square root, which means the positive one. Yes, both 6 and –6 squared give 36: $(-6)^2 = (-6) \times (-6) = 36$ But: $\sqrt{36} = 6$ We only write the positive root when we use the radical symbol, so $\sqrt{36} = 6$. But if solving an equation like $x^2 = 36$, the solutions are $x = 6$ and $x = -6$. Can We Take the Square Root of Any Number? Well, almost. If the number is positive, you can take the square root and get a real number. If the number is not a perfect square, the answer will be a decimal or an irrational number (more on that later). If the number is negative, you can still take the square root, but the answer will involve imaginary numbers. A Quick Look at Imaginary Numbers So what happens when you try to take the square root of a negative number? Let’s say you’re starin