How do you simplify (4+sqrt50)-(3-sqrt(8)) ?

2 Answers
Mar 31, 2018

=1+7sqrt2

Explanation:

sqrt50=5sqrt2 and sqrt8=2sqrt2

Equation becomes (4+5sqrt2)-(3-2sqrt2)

=4+5sqrt2-3+2sqrt2

=1+7sqrt2

Mar 31, 2018

(4+sqrt50)-(3-sqrt8)=1+7sqrt2

Explanation:

(4+sqrt50)-(3-sqrt8)

sqrt50=sqrt(25xx2)=sqrt25xxsqrt2=5sqrt2

sqrt8=sqrt(4xx2)=sqrt4xxsqrt2=2sqrt2

(4+sqrt50)-(3-sqrt8)=(4+5sqrt2)-(3-2sqrt2)

=4+5sqrt2-3+2sqrt2

=(4-3)+(5sqrt2+2sqrt2)

=1+7sqrt2

(4+sqrt50)-(3-sqrt8)=1+7sqrt2