Express as a pure surd- a - b 2

The correct option is B √( a ^ 3 b ^ 2 ) A surd in which the whole of the rational number is under #10;the radical sign and makes the radicand, is call ...

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Standard XII

Mathematics

General Term of Binomial Expansion

Express as a ...

Question

Express as a pure surd: $a \sqrt[3]{b^{2}}$

\sqrt[3]{a^{3} b^{2}}

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\sqrt[3]{a^{2} b^{3}}

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\sqrt[2]{a^{3} b^{2}}

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\sqrt[2]{a^{2} b^{3}}

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Solution

The correct option is B $\sqrt[3]{a^{3} b^{2}}$
A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.

$a \sqrt[3]{b^{2}} = \sqrt[3]{a^{3}} \times \sqrt[3]{b^{2}} = \sqrt[3]{a^{3} b^{2}}$

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Similar questions

Expand the following formulas

(a + b)^{2}

(a - b)^{2}

(a^{2} + b^{2})

(a + b)^{3}

(a - b)^{3}

a^{3} + b^{3}

a^{3} - b^{3}

Q. Expand

a^{3} b^{2}, a^{2} b^{3}, b^{2} a^{3}, b^{3} a^{2} .

Are they all same?

Q. Simplify the following expressions.

\frac{a^{2} - b^{2}}{a - b} - \frac{a^{3} - b^{3}}{a^{2} - b^{2}}

a^{2} b^{2} c^{2} (a^{- 3} + b^{- 3} + c^{- 3}) = (a^{3} + b^{3} + c^{3})

Q. If

a + b + c = 1; a^{2} + b^{2} + c^{2} = 2; a^{3} + b^{3} + c^{3} = 3

, then

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Express as a pure surd: a3√b2

The correct option is B 3√a3b2A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd. a3√b2=3√a3×3√b2=3√a3b2

Express as a pure surd: $a \sqrt[3]{b^{2}}$

The correct option is B $\sqrt[3]{a^{3} b^{2}}$
A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.

$a \sqrt[3]{b^{2}} = \sqrt[3]{a^{3}} \times \sqrt[3]{b^{2}} = \sqrt[3]{a^{3} b^{2}}$