Question

Find the square of 3 root 5 by 5.
$3 \sqrt{5} \div 535​÷5$

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Answer 1

To find:

• Square of $\sf{\dfrac{3 \sqrt{5}}{5}}$

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Solution:

• We can simply write it as

→ $\sf{\bigg( \dfrac{ 3 \sqrt{5}}{5} \bigg)^2}$

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→ $\sf{\dfrac{ ( 3 \sqrt{5} )^2}{ (5)^2 }}$

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Now, we can simply square the both numerator and denominator.

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$\tt\dashrightarrow{\dfrac{9 \times 5}{25}}$

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$\tt\dashrightarrow{\dfrac{9 \times \cancel{5}}{\cancel{25}}}$

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$\tt\dashrightarrow{\dfrac{9}{5}}$

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Hence,

• Required answer is $\bf{\dfrac{9}{5}}$

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Answer 2

the square root of 3 root 5 by 5