Answered: "96=4×48 =2×48 =2×8×6 =2×4×6 =86 Is there a..."

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Dolly Robinson

Answered question

2021-01-19

$\sqrt{96} = \sqrt{4} \times \sqrt{48}$
$= 2 \times \sqrt{48}$
$= 2 \times \sqrt{8} \times \sqrt{6}$
$= 2 \times 4 \times \sqrt{6}$
$= 8 \sqrt{6}$
Is there a mistake in the simplification? What is it? Correct the mistake if there is one and simplify sqrt96.

Answer & Explanation

SoosteethicU

Skilled2021-01-20Added 102 answers

Yes there is, because:

\sqrt{4} \times \sqrt{48} \neq \sqrt{96}

\sqrt{4} \times \sqrt{48} = \sqrt{192}

So it should look like this:

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

= 4 \sqrt{6}

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