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
[tex]\sqrt{2}* \sqrt{2} +\sqrt{2}* \sqrt{5} +\sqrt{2} *\sqrt{5}+\sqrt{5} *\sqrt{5}[/tex]
2 + 5 + 2√10
~ 2 +5 + 2(3)
C. 13
