Express as a pure surd- 5-6

The correct option is A √(150) A surd in which the whole of the rational number is under #10;the radical sign and makes the radicand, is called pure sur ...

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Byju's Answer

Standard IX

Mathematics

Radical Expression

Express as a ...

Question

Express as a pure surd: $5 \sqrt{6}$

\sqrt{150}

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\sqrt{30}

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\sqrt{180}

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10

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Solution

The correct option is A $\sqrt{150}$
A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.
$5 \sqrt{6} = \sqrt{5^{2}} \times \sqrt{6} = \sqrt{5^{2} \times 6} = \sqrt{150}$

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Similar questions

Q. Express the following surds as pure surds.

\frac{4}{3} \sqrt{6}

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5 \sqrt[3]{5}

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4 \sqrt{5}

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3 \sqrt[4]{5}

Express the following mixed surd in the form of a pure surd.

$5 \sqrt{10}$

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Express as a pure surd: 5√6

The correct option is A √150A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.5√6=√52×√6=√52×6=√150

Express as a pure surd: $5 \sqrt{6}$

The correct option is A $\sqrt{150}$
A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.
$5 \sqrt{6} = \sqrt{5^{2}} \times \sqrt{6} = \sqrt{5^{2} \times 6} = \sqrt{150}$