Question

$evaluate \: \sqrt[3]{8} \div \sqrt{32}$
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Answer 1

$\sf \huge{\underline{ Question:}}$

$\rm{evaluate \: \: \: : \: \: \: \sqrt[3]{8} \div \sqrt{32}}$

$\sf \huge\red{\underline{ \underline{Answer :}}}$

$\sqrt[3]{8} \:$

$\large2 \underline{| \: \: 8 \: \: }\\ \large 2\underline{| \: \: 4 \: \: }\\ \large2 \underline{| \: \: 2 \: \: } \\ \: \: \: \: \large1$

$8 = 2 \times 2 \times 2$

$\bold{ \sqrt[3]{8} \: = 2}$

$\\ \\ \sqrt{32} \\ \\ = \sqrt{16 \times 2 \: } \\ \\ = \sqrt{16} \times \sqrt{2} \\ \\ = 4 \times \sqrt{2} \\ \\ \bold{4 \sqrt{2} }$

$\\ \\ \\ \rm{ \sqrt[3]{8} \div \sqrt{32}}$

$\large \frac{ \sqrt[3]{8} }{ \sqrt{32} } \\ \\ = \frac{2}{4 \sqrt{2} } \\ \\ = \frac{1}{2 \sqrt{2} }$

$\\ \\ \\ \rm{ \large\boxed{\sqrt[3]{8} \div \sqrt{32} = \color{red} \frac{1}{2 \sqrt{2} } }}$

$\\ \\ \\ \\ \\ \color{purple}{ \bf{Hope \: \: this \: \: helps \: \: you \: !}}$

Answer 2

Answer:

\sf \huge{\underline{ Question:}}

Question:

\rm{evaluate \: \: \: : \: \: \: \sqrt[3]{8} \div \sqrt{32}}evaluate:

3

8

÷

32

\sf \huge\red{\underline{ \underline{Answer :}}}

Answer:

\sqrt[3]{8} \:

3

8

\begin{gathered} \large2 \underline{| \: \: 8 \: \: }\\ \large 2\underline{| \: \: 4 \: \: }\\ \large2 \underline{| \: \: 2 \: \: } \\ \: \: \: \: \large1\end{gathered}

2

∣8

2

∣4

2

∣2

1

8 = 2 \times 2 \times 28=2×2×2