Let's evaluate each expression one by one to check which ones are equal to 36.
-
Six times square root of six: \[ 6 \times \sqrt{6} \] This is approximately \(6 \times 2.45 \approx 14.7\), so it does not equal 36.
-
Six times square root of 36: \[ 6 \times \sqrt{36} = 6 \times 6 = 36 \] This equals 36.
-
(Square root of 36) the power of two: \[ (\sqrt{36})^2 = 6^2 = 36 \] This also equals 36.
-
Two times the square root of 36: \[ 2 \times \sqrt{36} = 2 \times 6 = 12 \] This does not equal 36.
The two expressions that equal 36 are:
- Six times square root of 36 (2nd expression)
- (Square root of 36) the power of two (3rd expression)
So, the final answer is the 2nd and 3rd expressions.