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What is the square root example?

Here,’√’is the radical symbol used to represent the root of numbers. The positive number, when multiplied by itself, represents the square of the number. The square root of the square of a positive number gives the original number….Solved Examples of Square Roots.

Square rootResult
√42
√93
√164
√255

How do you write a square root answer?

A square root asks you which number, when multiplied by itself, gives the result after the √ symbol. So √9 = 3 and √16 = 4. Every root technically has a positive and a negative answer, but in most cases the positive answer is the one you’ll be interested in.

Does 10 have a square root?

List of Perfect Squares

NUMBERSQUARESQUARE ROOT
8642.828
9813.000
101003.162
111213.317

What is the square root of 64?

8
The square root of 64 is 8.

How do you explain square roots?

A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root.

Does a square root have two answers?

Given a positive real number a, there are two solutions to the equation x2=a , one is positive, and the other is negative. We denote the positive root (which we often call the square root) by √a . And for it to be a square number both the nos . have to be same.

How do you simplify a square root with a variable?

Simplifying square roots with variables is similar to simplifying square roots without variables. Treat the variable as a factor–if it appears twice (x2), cross out both and write the factor (x) one time to the left of the square root sign.

How do you simplifying square roots?

Understand factoring. The goal of simplifying a square root is to rewrite it in a form that is easy to understand and to use in math problems.

  • Divide by the smallest prime number possible. If the number under the square root is even,divide it by 2.
  • Rewrite the square root as a multiplication problem.
  • Repeat with one of the remaining numbers.
  • How to multiply square roots?

    Multiply the radicands.

  • Factor out any perfect squares in the radicand.
  • Place the square root of the perfect square in front of the radical sign.
  • Square a square root.
  • Multiply the coefficients.
  • (more items)
  • How do you solve equations by using square roots?

    Solving Quadratic Equations Using Square Roots. The general form of a quadratic equation is: a x 2 + b x + c = 0. If b = 0 , the equation can solved by putting it in the form. x 2 = d. for some new constant d , and taking the square root of both sides.