Mathematics: What is the expression in simplest radical form? 384−−−√

What is the expression in simplest radical form? 384−−−√

lauren21bunch

03.01.2022

$8\sqrt{6}$

Step-by-step explanation:

Remember that

$\sqrt{a}=a^{\frac{1}{2}}$

and

$\sqrt{ab}=(ab)^{\frac{1}{2}}=(a)^{\frac{1}{2}}(b)^{\frac{1}{2}}$

we have the number

$\sqrt{384}$

Decompose the number in prime factors

$384=2^{7}3=2^{6}(2)(3)=2^{6}(6)$

substitute

$\sqrt{2^{6}(6)}=(2)^{\frac{6}{2}}(6)^{\frac{1}{2}}=2^3\sqrt{6}=8\sqrt{6}$

therefore

The expression in simplest radical form is $8\sqrt{6}$

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ranmmm

14.10.2020

250 GRAMS

Step-by-step explanation:

you're welcome

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