\([(\sqrt{6}+ \sqrt{3})(\sqrt{6}- \sqrt{3})]^{\frac{3}{2}}\) is near

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\([(\sqrt{6}+ \sqrt{3})(\sqrt{6}- \sqrt{3})]^{\frac{3}{2}}\) is nearly equal to

Options:

A . \(2\sqrt{3}\)

B . \(3\sqrt{3}\)

C . \(2\sqrt{18}\)

D . none of these

Answer: Option B

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2 Comments

Apoorva 2017-04-19 07:33:53

0

[(âˆš6 + âˆš3) (âˆš6 - âˆš3)]Â³/Â²
= [âˆš6(âˆš6-âˆš3) + âˆš3(âˆš6-âˆš3)]Â³/Â²
= [âˆš36 - âˆš18 + âˆš18 - âˆš9]Â³/Â²
= 6 - âˆš18 + âˆš18 - 3
= 6-3
= (3)Â³/Â²
= âˆš3Â³
= âˆš27
=3âˆš3

Apoorva 2017-04-19 07:32:55

0

[(âˆš6 + âˆš3) (âˆš6 - âˆš3)]Â³/Â²
= [âˆš6(âˆš6-âˆš3) + âˆš3(âˆš6-âˆš3)]Â³/Â²
= [âˆš36 - âˆš18 + âˆš18 - âˆš9]Â³/Â²
= 6 - âˆš18 + âˆš18 - 3
= 6-3
= (3)Â³/Â²
= âˆš3Â³
= âˆš27
=3âˆš3

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