Question

Simplify the expression (2 square root sign 27) - (3 square root sign 32)

Answer 1

Answer:

$3\sqrt{3} - 4\sqrt{2}$

Step-by-step explanation:

The expression (2 square root sign 27) - (3 square root sign 32) is $2\sqrt{27} - 3\sqrt{32}$.

To simplify, simplify inside the radicals by removing perfect square factors.

$\sqrt{27} =\sqrt{9*3} =3\sqrt{3}$

$\sqrt{32} =\sqrt{16*2} =4\sqrt{2}$

The expression becomes $3\sqrt{3} - 4\sqrt{2}$.

This cannot be simplified anymore because whats under the radical is not the same.