We can write the given expression as: (√(6)+√(3)) nbsp;(√(6) √(3)) nbsp;= ( √(6)+√(3))×(√(6) √(3) ) nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; ...

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Visualisation of Identity 2

Evaluate √6+√...

Question

Evaluate ( $\sqrt{6}$ + $\sqrt{3}$ ) ( $\sqrt{6}$ - $\sqrt{3}$ )

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Solution

We can write the given expression as:

( $\sqrt{6}$ + $\sqrt{3}$ ) ( $\sqrt{6}$ - $\sqrt{3}$ ) = ( $\sqrt{6}$ + $\sqrt{3}$ )×( $\sqrt{6}$ - $\sqrt{3}$ )
= 6-3
= 3.
[Using identity,( $\sqrt{a}$ + $\sqrt{b}$ )×( $\sqrt{a}$ - $\sqrt{b}$ ) = a-b]

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