How do you rationalize the denominator and simplify #(sqrt2+sqrt3)/(2sqrt2-3sqrt3)#?

Question

How do you rationalize the denominator and simplify #(sqrt2+sqrt3)/(2sqrt2-3sqrt3)#?

1 Answer

Impact of this question

907 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-14T17:53:27

#- ( 13 + 5sqrt6 )/19#

Explanation:

Multiply both numerator and denominator by the conjugate #( 2sqrt2 + 3sqrt3 )# of the denominator and use #( a - b )( a + b ) = (a^2 - b^2 )#
Denominator is rationalized to #(-19)#.

Science

Math

Humanities

... and beyond

How do you rationalize the denominator and simplify #(sqrt2+sqrt3)/(2sqrt2-3sqrt3)#?

1 Answer

Explanation:

Related questions

Impact of this question