Question

Find all square roots of the number or write no square roots. Check the results by squaring each root. $$64$$

Short answer

The square roots of 64 are 8 and -8.

Step-by-step solution

Identify the Square Root

The square root of a number \( n \) is the value that, when multiplied by itself, gives the original number \( n \). To find the square root of 64, you can use the square root operation. The positive square root of 64 is 8 because \( 8 \times 8 = 64 \).

Identify the Negative Square Root

All positive real numbers have two square roots. Apart from the positive square root, there is also negative square root. The negative square root of 64 is -8 because \( -8 \times -8 = 64 \).

Check the Results

To confirm that the values obtained are correct, check the results by squaring each root. \( 8^2 = 64 \) and \( (-8)^2 = 64 \). Both results are accurate since they give back the original number from which the roots were derived.