Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question go step by step to reduce the radical. $sqrt{176}$ $sqrt{16 cd…

Question

question
go step by step to reduce the radical.
$sqrt{176}$
$sqrt{16 cdot sqrt{11}}$
$squaresqrt{square}$
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Factor out perfect square

$\sqrt{176} = \sqrt{16 \times 11}$

Step2: Split radical using product rule

$\sqrt{16 \times 11} = \sqrt{16} \cdot \sqrt{11}$

Step3: Simplify perfect square root

$\sqrt{16} = 4$, so $4 \cdot \sqrt{11}$

Answer:

$4\sqrt{11}$