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question go step by step to reduce the radical. $sqrt{160}$ $sqrt{16 cd…

Question

question
go step by step to reduce the radical.
$sqrt{160}$
$sqrt{16 cdot sqrt{10}}$
$squaresqrt{square}$
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Factor 160 into 16×10

$\sqrt{160} = \sqrt{16 \times 10}$

Step2: Apply square root product rule

$\sqrt{16 \times 10} = \sqrt{16} \cdot \sqrt{10}$

Step3: Simplify $\sqrt{16}$

$\sqrt{16} = 4$, so $4\sqrt{10}$

Answer:

$4\sqrt{10}$