Question

score: 3/8 penalty: none
question
express in simplest radical form.
3√6 − √96
answer

Explanation:

Step1: Simplify $\sqrt{96}$

Factor 96: $96 = 16\times6$. Then $\sqrt{96}=\sqrt{16\times6}=\sqrt{16}\times\sqrt{6}=4\sqrt{6}$ (since $\sqrt{16} = 4$).

Step2: Substitute and simplify the expression

The original expression is $3\sqrt{6}-\sqrt{96}$. Substitute $\sqrt{96}=4\sqrt{6}$ into it: $3\sqrt{6}-4\sqrt{6}$. Combine like terms: $(3 - 4)\sqrt{6}=-\sqrt{6}$.

Answer:

$-\sqrt{6}$