"Add and subtract but first simplify radicals −1048−75" was answered by students like you

Secondary
Algebra
Algebra I
Exponents and radicals

Dottie Parra

Answered question

2021-09-07

Add and subtract but first simplify radicals

- 10 \sqrt{48} - \sqrt{75}

Answer & Explanation

estenutC

Skilled2021-09-08Added 81 answers

We factor 48 and 75 to simplify the radicals
$48 = 2 \times 2 \times 2 \times 2 \times 3$
$\sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} = 2 \times 2 \sqrt{3} = 4 \sqrt{3}$
$75 = 3 \times 5 \times 5$
$\sqrt{75} = \sqrt{3 \times 5 \times 5} = 5 \sqrt{3}$

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