Write down the value of 81 .

To find the value of 81 . We know that, Square root is indicated by . Square root of a number is a value, which on multiplication by itself gives the original number. Where 81 = 9 × 9 or 81 = - 9 × - 9 . Since, The product of two negative numbers is always positive. ⇒ 81 = 9 2 = 9 and 81 = - 9 2 = 9 Therefore, The value of 81 is 9 or - 9 .

Why doesn't - 64 3 have two answers?

To find the value of - 64 3 . We know that, Cube root is indicated by 3 . Cube root of a number is a value, which on multiplication by itself thrice gives the original number. The given number is negative. So, the cube root of the number is also negative. Since, The product of three negative numbers is always negative. ⇒ - 64 3 = - 4 × - 4 × - 4 3 = - 4 3 3 = - 4 Hence, The value of - 64 3 is - 4 . If the given number is positive, then the cube root of the number is also positive. Therefore, Cube root of any integer has only one answer either positive or negative.

Tick to show if each statement is true or false. True False - 8 3 = - 2 - 25 = - 5

Given, - 8 3 = - 2 We know that, Square root is indicated by and cube root is indicated by 3 . Cube root of a number is a value, which on multiplication by itself thrice gives the original number. The given number is negative. So, the cube root of the number is also negative. ⇒ - 8 3 = - 2 3 3 = - 2 Hence, The given statement is True. Now, Square root of a number is a value, which on multiplication by itself gives the original number. It's not possible to get product of two negative integers as negative. Since, The product of two negative numbers is always positive. Hence, The Square root of negative number is not possible. The second statement is false. True False - 8 3 = - 2 ✓ - 25 = - 5 ✓