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(5+11)(5−11)(\sqrt5+\sqrt{11})(\sqrt5-\sqrt{11})(5​+11​)(5​−11​) is equal to:
Question

(5+11)(511)(\sqrt5+\sqrt{11})(\sqrt5-\sqrt{11}) is equal to:

A.

- 6

B.

6

C.

25

D.

–121

Correct option is A

Given: 

(5+11)(511)(\sqrt5+\sqrt{11})(\sqrt5-\sqrt{11})
Concept Used:

(a+b)(ab)=a2b2(a + b)(a - b) = a^2 - b^2 

Solution: 

(5+11)(511) =(5)2(11)2 =511 =6(\sqrt5+\sqrt{11})(\sqrt5-\sqrt{11}) \\ \ \\ = (\sqrt5)^2 - (\sqrt{11})^2 \\ \ \\ = 5 - 11 \\ \ \\ = -6​​

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