Algebra and Applications Test 3

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Question : 5 of 25

Marks: +1, -0

What is the square root to

23 + 4 √10 -10√ 2- 8 √5

?

$√ 5 +√10- 2 √2$
$√ 5 -√10+ 2 √2$
$√5+2√10+√10$
$2√2-√5+√10$
None of these

Solution:

∵23 + 4 √10 -10√ 2- 8 √5

=5+10+8+4√10-10√2-8√5

=( √5)^2+(√10)^2+(2√2)^2+4√10-10√2-8√5

=(√5-√10+2√2)^2

square root to

(23 + 4 √10 -10√ 2- 8 √5)

=√ 5 -√10+ 2 √2

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