Question

simplify (2√27) x (3√32)

Answer 1

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:

$72 \sqrt {6}$

Answer 2

Answer:

72√6

Step-by-step explanation:

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

Before that,

$\sqrt{27}=\sqrt{9\times3}= \sqrt{9}\times\sqrt{3}=3\sqrt{3}$

$\sqrt{32}=\sqrt{16\times2}= \sqrt{16}\times\sqrt{3}=4\sqrt{3}$

This implies that (2√27)×(3√32)

$=(2\times3\sqrt{3})\times(3 \times4\sqrt{2})$

$=6\sqrt{3}\times12\sqrt{2}$

$=72\sqrt{6}$