SOLUTION: simplify [(sq rt 5) - (sq rt 3)] / [3(sq rt 5) + 4(sq rt 3)]

Question 108255: simplify
[(sq rt 5) - (sq rt 3)] / [3(sq rt 5) + 4(sq rt 3)]
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
simplify
[(sqrt 5) - (sqrt 3)] / [3(sqrt 5) + 4(sqrt 3)]
---------------
Multiply numerator and denominator by [3sqrt5 - 4sqrt3]
to get:
-----------
[(sqrt 5) - (sqrt 3)][3sqrt5 - 4sqrt3] / [3(sqrt 5) + 4(sqrt 3)][3sqrt5 - 4sqrt3]
-----------
[3*5+4*3-7sqrt(15)] / [9*5-16*3]
= [27 - 7sqrt(15)]/1
= [27 - 7sqrt(15)]
---------
Cheers,
Stan H.
RELATED QUESTIONS
Simplify. 5 sq rt 3 − sq rt... (answered by HyperBrain)

Simplify: 5 sq rt 2(7 sq rt 8 + 5 sq rt... (answered by edjones)

Simplify products. 2 sq rt 5 + sq rt 2 multiplied by 3 sq rt 5 - sq rt... (answered by mananth)

Simplify. sq rt 125 / sq rt... (answered by HyperBrain)

Simplify 2 sq rt 5 (8sq rt 7 + 3 sq rt... (answered by vleith)

Simplify. 8 sq rt 7x + 3 sq rt... (answered by duggie,cheesey)

Simplify products. Give exact answers. 2 sq rt 5 multiplied by 3 sq rt... (answered by mananth)

Grade the following problem:; Perform the indicated operations: √[50] +... (answered by checkley77)

Remove the radicals and simplify the following equation.. (answered by alex224)