SOLUTION: Please help me with find factoring. Thank you Mutiply and simplify by factoring. Sqrt(45)*Sqrt(250) Sqrt(45)*(250)=11250 Sqrt(11250)= factoring will be?

Algebra ->  Radicals -> SOLUTION: Please help me with find factoring. Thank you Mutiply and simplify by factoring. Sqrt(45)*Sqrt(250) Sqrt(45)*(250)=11250 Sqrt(11250)= factoring will be?       Log On


   

Question 214122: Please help me with find factoring. Thank you
Mutiply and simplify by factoring.
Sqrt(45)*Sqrt(250)
Sqrt(45)*(250)=11250
Sqrt(11250)= factoring will be?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2845%29%2Asqrt%28250%29 Start with the given expression.


sqrt%289%2A5%29%2Asqrt%2825%2A10%29 Factor each radicand into a product in which one factor is a perfect square (the largest perfect square factor)


sqrt%289%29%2Asqrt%285%29%2Asqrt%2825%29%2Asqrt%2810%29 Break up the roots.


3%2Asqrt%285%29%2A5%2Asqrt%2810%29 Take the square root of the perfect squares 9 and 25 to get 3 and 5.


3%2A5%2Asqrt%285%2A10%29Recombine the roots.


15%2Asqrt%2850%29 Multiply


15%2Asqrt%2825%2A2%29 Factor 50 into 25*2 (take note how 25 is the largest perfect square that goes into 50)


15%2Asqrt%2825%29%2Asqrt%282%29 Break up the root.


15%2A5%2Asqrt%282%29 Take the square root of 25 to get 5.


75%2Asqrt%282%29 Multiply


So sqrt%2845%29%2Asqrt%28250%29=75%2Asqrt%282%29