Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question go step by step to reduce the radical. $\frac{sqrt{96}}{sqrt{1…

Question

question
go step by step to reduce the radical.
$\frac{sqrt{96}}{sqrt{16} cdot sqrt{6}}$
$squaresqrt{square}$
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Factor 96 into 16×6

$\sqrt{96} = \sqrt{16 \times 6}$

Step2: Apply square root product rule

$\sqrt{16 \times 6} = \sqrt{16} \cdot \sqrt{6}$

Step3: Simplify $\sqrt{16}$

$\sqrt{16} = 4$, so $\sqrt{96}=4\sqrt{6}$

Answer:

$4\sqrt{6}$