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

Step-by-step 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

`√(5)(10-4√(2))`

Applying the distributive property

`√(5)(10-4√(2))=10√(5)-4√(2)√(5)`

we know that

`√(2)√(5)=√(10)`

substitute

`10√(5)-4√(10)`

therefore

the answer is the option

None of the above