The given expression is √(5(23/4 3/10)) This can be written as √(5(11/4 3/10)) = √(5(55 6/20)) (as LCM of 4 and 10 is 20 ) = √(5(49/20)) =√((49/4)) ...

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Byju's Answer

Standard VIII

Mathematics

Finding Square Root through Prime Factorisation

Evaluate:√523...

Question

Evaluate:

$\sqrt{5 (2 \frac{3}{4} - \frac{3}{10})}$

$2 \frac{3}{2}$

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$1 \frac{5}{2}$

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$4 \frac{1}{2}$

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$3 \frac{1}{2}$

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Solution

The correct option is D
$3 \frac{1}{2}$

The given expression is $\sqrt{5 (2 \frac{3}{4} - \frac{3}{10})}$
This can be written as $\sqrt{5 (\frac{11}{4} - \frac{3}{10})}$
= $\sqrt{5 (\frac{55 - 6}{20})}$ $(a s L C M o f 4 a n d 10 i s 20)$
= $\sqrt{5 (\frac{49}{20})}$

= $\sqrt{(\frac{49}{4})}$ = $\frac{7}{2}$
= $3 \frac{1}{2}$

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Similar questions

Evaluate:

$\sqrt{5 (2 \frac{3}{4} - \frac{3}{10})}$

Evaluate:

$\sqrt{5 (2 \frac{3}{4} - \frac{3}{10})}$

Q. Evaluate:

\sqrt{5 (2 \frac{3}{4} - \frac{3}{10})}

3 \frac{1}{m}

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Evaluate: √5(234−310)

The correct option is D 312 The given expression is √5(234−310) This can be written as √5(114−310) = √5(55−620) (as LCM of 4 and 10 is 20) = √5(4920) =√(494) = 72 = 312

Evaluate:

$\sqrt{5 (2 \frac{3}{4} - \frac{3}{10})}$