Question 897213
{{{(4sqrt(10)-sqrt(90))/sqrt(2)}}}


A factorization is useful, so rationalizing the denominator is not necessary.


{{{(4*sqrt(2*5)-sqrt(2*45))/sqrt(2)}}}


{{{(4sqrt(2)sqrt(5)-sqrt(2)sqrt(45))/sqrt(2)}}}


{{{((sqrt(2))(4sqrt(5)-sqrt(45)))/sqrt(2)}}}


{{{(cross(sqrt(2))(4sqrt(5)-sqrt(45)))/cross(sqrt(2))}}}