SOLUTION: √9/3+3/√24

Algebra ->  Radicals -> SOLUTION: √9/3+3/√24      Log On


   

Question 371721: √9/3+3/√24
Found 2 solutions by edjones, Math-Help:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
√9/3 + 3/√24
=sqrt(3) + 3/2sqrt(6)
=(2sqrt(6)sqrt(3)+3)/2sqrt(6)
=(2sqrt(18)+3)/2sqrt(6)
=(6sqrt(2)+3)/2sqrt(6) * sqrt(6)/sqrt(6)
=(6sqrt(12)+3sqrt(6))/12
=(12sqrt(3)+3sqrt(6))/12
=(4sqrt(3)+sqrt(6))/4
=%28sqrt%283%29%284%2Bsqrt%282%29%29%2F4%29
.
Ed

Answer by Math-Help(7) About Me  (Show Source):
You can put this solution on YOUR website!
Given: √9/3+3/√24
Part 1 ==> √9/3
Part 2 ==> 3/√24
Part 1 + Part 2 = ?
Part 1 ==> √9/3 = 3/3 = 1
Denominator of Part 2 ==> √24 = 2√6
Now multiply the numerator and denominator of Part 2 by √6
√6*3/√6*√24
√6*3/√6*2√6
3√6/(2*6)
3√6/12
Cancel out the 3 ==> √6/4
Thus Part 2 = √6/4
Therefore 1+3/√24 = 1 + √6/4