Question

Simplify square root of 5 open parentheses 10 minus 4 square root of 2 close parentheses .


14

15 square root of 2

5 square root of 2 end root minus 4 square root of 10

None of the above

Answer 1

10√5−4√10

Explanation:

√5(10−4√2)

=10√5−4√5⋅2→ distribute √5 to each term inside the parenthesis.

=10√5−4√10→ simplify.

Answer 2

we have

$\sqrt{5}(10-4\sqrt{2})$

Applying the distributive property

$\sqrt{5}(10-4\sqrt{2})=10\sqrt{5}-4\sqrt{2}\sqrt{5}$

we know that

$\sqrt{2}\sqrt{5}=\sqrt{10}$

substitute

$10\sqrt{5}-4\sqrt{10}$

therefore

the answer is the option

None of the above