Final answer:
The opposite of taking a square root, such as in -3√5, is performed by squaring the number. In this case, you would square both -3 and √5 separately and multiply the results, leading to 45.
Step-by-step explanation:
The opposite of a square root in mathematical expressions is represented by raising the number to a power of 2. Specifically, -3√5 can be expressed as -3 raised to the 2/2.
In exponent terminology, a square root is the same as raising a number to the power of 1/2. Hence, the opposite of taking a square root (which is squaring) would be to raise that value to a power of 2:
(-3√5)² = (-3¹)² . (√5)² = 9 . 5 = 45
Here, you multiply the square of -3 (which is 9) by the square of √5 (which is 5), resulting in the final value of 45, the opposite of the initial square root operation.