Question

Of the following integers, which is the closest approximation to (2√+5√)2(2+5)2?A. 7B. 10C. 13D. 15E. 17

Answer 1

C. 13

Explanation:

from on online source, the question should be placed as thus:

Of the following integers, which is the closest approximation to (√2 + √5)^2 ?

A. 7

B. 10

C. 13

D. 15

E. 17

This is known as Algebraic expression. So we have to expand to simplify further

using this identity th (a+b)^2 = a^2 + b^2 +2ab

(√2 + √5)^2 =

(√2 + √5)(√2 + √5)

................Expansion of the above

`√(2)* √(2) +√(2)* √(5) +√(2) *√(5)+√(5) *√(5)`

2 + 5 + 2√10

~ 2 +5 + 2(3)

C. 13