SOLUTION: √5*(6√2-√5) i Really need your help on solving this i have been trying and i cant. Please help me ASAP! thankyou so much

Algebra ->  Radicals -> SOLUTION: √5*(6√2-√5) i Really need your help on solving this i have been trying and i cant. Please help me ASAP! thankyou so much       Log On


   

Question 404367: √5*(6√2-√5)
i Really need your help on solving this i have been trying and i cant. Please help me ASAP! thankyou so much
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285%29%286sqrt%282%29-sqrt%285%29%29
Just use the Distributive property:
sqrt%285%29%2A6sqrt%282%29-sqrt%285%29%2Asqrt%285%29%29
It should be obvious that sqrt%285%29%2Asqrt%285%29+=+5. For the other product we use a property of radicals: root%28a%2C+p%29%2Aroot%28a%2C+q%29+=+root%28a%2C+p%2Aq%29
6sqrt%285%2A2%29-5
which simplifies to:
6sqrt%2810%29-5
And since 10 has no perfect square factors (except 1) no more simplifying can be done. This is the answer.