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

Answer:

C. 13

Step-by-step 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

$\sqrt{2}* \sqrt{2} +\sqrt{2}* \sqrt{5} +\sqrt{2} *\sqrt{5}+\sqrt{5} *\sqrt{5}$

2 + 5 + 2√10

~ 2 +5 + 2(3)

C. 13