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in Squares And Square Roots by (30.8k points)
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Evaluate:

\(\sqrt{4{\frac{73}{324}}}\)

√(4)(73/324)

1 Answer

+1 vote
by (31.2k points)
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Best answer

We have,

\(\sqrt{4{\frac{73}{324}}}=\sqrt{\frac{1369}{324}}\)

\(\frac{\sqrt{1369}}{\sqrt{324}}\)

Now, using long division method we get:

\(\sqrt{1369}\) = 37

Also,

\(\sqrt{324}=\sqrt{2\times2\times9\times9}\)

= 2 × 9

= 18

Therefore,

\(\sqrt{4{\frac{73}{324}}}=\frac{37}{18}\)

\(=2\frac{1}{18}\)

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