Math, asked by chinnumurthy, 3 months ago


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

Answers

Answered by nandanaMK
5

 \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 \: !}}

Answered by Anonymous
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

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