Question

Simplify (2√27) x (3√32)

Answer 1

72√6

Explanation:

The expression to be simplified is (2√27)×(3√32)

Before that,

`√(27)=√(9*3)= √(9)*√(3)=3√(3)`

`√(32)=√(16*2)= √(16)*√(3)=4√(3)`

This implies that (2√27)×(3√32)

`=(2*3√(3))*(3 *4√(2))`

`=6√(3)*12√(2)`

`=72√(6)`

Answer 2

For this case we have the following expression:

`(2 \sqrt {27}) (3 \sqrt {32})`

We have to:

`27: 3 * 3 * 3: 3 ^ 2 * 3\\32: 16 * 2: 4 ^ 2 * 2`

Rewriting the expression and simplifying we have:

`(2 \sqrt {3 ^ 2 * 3}) (3 \sqrt {4 ^ 2 * 2}) =\\(2 * 3 \sqrt {3}) (3 * 4 \sqrt {2}) =\\(6 \sqrt {3}) (12 \sqrt {2}) =\\72 \sqrt {3 * 2} =\\72 \sqrt {6}`

Answer:

`72 \sqrt {6}`