Question

Rationalize the denominator.

9-10/2
V2+1

Answer 1

Explanation:

Answer 2

d. 19√2 -29

Explanation:

Multiply numerator and denominator by the conjugate of the denominator.

`(9-10√(2))/(√(2)+1)=((9-10√(2))(√(2)-1))/((√(2)+1)(√(2)-1))\\\\=(9√(2)-9-10\cdot2+10√(2))/(2-1)=\boxed{19√(2)-29}`