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Q.

Evaluate the following expression:
( $\sqrt 11 - \sqrt 7$ ) ( $\sqrt$ 11+ $\sqrt$ 7)

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a

4

b

3

c

5

d

8

answer is A.

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Detailed Solution

Concept: Considering that the expression in this case is in the form (a - b) (a + b) , use the formula

(a - b) (a + b) = a^{2} - b^{2} where a = \sqrt 11 b = \sqrt 7

We are aware that

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

(\sqrt 11 - \sqrt 7) (\sqrt 11 - \sqrt 7)

a = \sqrt 11

b = \sqrt 7

(\sqrt {(11)}^{2} - \sqrt {(7)}^{2}

= 11 - 7

= 4

Hence, the correct answer is option 1.
ExamType: CBSE

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