What is the square root of 28?

When a perfect power is under a square root sign, the exponent is halved, because the square root is the same as raising to the power one-half, and raising a power to another power multiplies the exponents: (am)1/2 = am/2.

1. Write the square root as a fractional exponent: √(28) = (28)1/2.

2. Multiply the exponents: 8 × 1/2 = 4, so the expression becomes 24.

3. Evaluate the power: 24 = 2 × 2 × 2 × 2 = 16.

Direct check: 28 = 256, and the square root of 256 is 16 — matching the exponent-rule result.

So the square root of 28 is 16.