How do you simplify 4 square root 8 - 3 square root 2?

1 Answer
Jun 26, 2016

$5 \sqrt{2}$

Explanation:

$C o n v e r t \sqrt{8} \to \sqrt{2}$ so that you can subtract easily.

$4 \sqrt{8} - 3 \sqrt{2}$ an be written as:

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

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

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

$8 \sqrt{z} - 3 \sqrt{2}$

$5 \sqrt{2}$