Rationalize the denominator. 9-10/2 V2+1

asked Aug 1, 2022 136k views

1 vote

Rationalize the denominator.

9-10/2
V2+1

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3 votes

Answer:

Explanation:

IgorGanapolsky answered Aug 2, 2022

7.2k points

5 votes

Answer:

d. 19√2 -29

Explanation:

Multiply numerator and denominator by the conjugate of the denominator.

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

Sanda answered Aug 5, 2022

by Sanda

7.5k points

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