The correct option is D 5 ×√(7)Rule: √(x)×√(y) =√(xy) OR √(xy) =√(x)×√(y) Let xy=175 ⇒√(175) =√(25)×√(7) ⇒√(175) =5 nbsp;×√(7) ...

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Relation between Square and Square Root

Simplify √175...

Question

Simplify $\sqrt{175}$ .

5 \times \sqrt{5}

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5 \times \sqrt{6}

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5 \times \sqrt{7}

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5 \times \sqrt{8}

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Solution

The correct option is C $5 \times \sqrt{7}$
Rule:

$\sqrt{x} \times \sqrt{y} = \sqrt{x y}$

OR

$\sqrt{x y} = \sqrt{x} \times \sqrt{y}$

Let $x y = 175$

$\Rightarrow \sqrt{175} = \sqrt{25} \times \sqrt{7}$

$\Rightarrow \sqrt{175} = 5 \times \sqrt{7}$

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90 - [40 - 175 \div (- 5) - (28 + (- 16) \div 4) \div 6]

\frac{7.83 \times 7.83 - 1.17 \times 1.17}{6.66}

Simplify each of the following :

(i) $175 \times 175 + 2 \times 175 \times 25 + 25 \times 25$

(ii) $322 \times 322 - 2 \times 322 \times 22 + 22 \times 22$

(iii) $0.76 \times 0.76 + 2 \times 0.76 \times 0.24 + 0.24 \times 0.24$

(iv) $\frac{7.83 \times 7.83 - 1.17 \times 1.17}{6.66}$

35 %

175

175

(\sqrt{7} + 1)^{75} - (\sqrt{7} - 1)^{75}

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