Question

Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)


3√(8) – 3√(16)

Answer 1

$3\sqrt 8 - 3\sqrt{16}\\\\=3\sqrt{4 \times 2} -3 \sqrt{4^2}\\\\=3\cdot 2 \sqrt 2 - 3\cdot 4\\\\=6\sqrt 2 - 12\\\\=6\left(\sqrt 2-2 \right)$