Numbers & Algebra

1:

Which of the following is true?

A.

√2+√5=√7

B.

√2+√5 ≤ √7

C.

√2+√5<√7

D.

√2+√5 > √7

 

Answer : D

Explanation :

(√2+√5)² = 2 + 2√10 +5 =7+2√10
(√7)² = 7
∴ √2+√5> 7
Alternatively:
√2 > √1 and √5 > √4
∴ √2+√5 > 2+1 
=> √2 + √5 > 3 and √7 < √9 = 3
=> √7 < 3. 
so √2 + √5>√7

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Option: A

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