SOLUTION: multiply and simplify. show your steps. 1. square root of 15b 2. square root of 5(2 square root of 10+ square root of 2x) 3. (2-square root of 6)(1 + square root of 6) please

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: multiply and simplify. show your steps. 1. square root of 15b 2. square root of 5(2 square root of 10+ square root of 2x) 3. (2-square root of 6)(1 + square root of 6) please      Log On


   

Question 252924: multiply and simplify. show your steps.
1. square root of 15b
2. square root of 5(2 square root of 10+ square root of 2x)
3. (2-square root of 6)(1 + square root of 6)
please please help me!!!
Found 2 solutions by drk, Alan3354:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
multiply and simplify. show your steps.
1. square root of 15b
there is nothing to multiply by so I cannot answer 1.
--
2. square root of 5(2 square root of 10+ square root of 2x)
sqrt%285%29%2A%282sqrt%2810%29+%2B+sqrt%282x%29%29
By distributive property, we get
2%2Asqrt%2850%29+%2B+sqrt%2810x%29
but sqrt(50) = 5sqrt(2), so, we get
10sqrt%282%29+%2B+sqrt%2810x%29
3. (2-square root of 6)(1 + square root of 6)
%282-sqrt%286%29%29%2A%281%2Bsqrt%286%29%29
here we will foil
2 + 2sqrt(6) - sqrt(6) -sqrt(36)
combine like terms, remember that sqrt(36) = 6.
8 + sqrt(6).

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
multiply and simplify. show your steps.
1. square root of 15b
Nothing to do.
-----------------
2. square root of 5(2 square root of 10+ square root of 2x)
sqrt(5)*(2sqrt(10) + sqrt(2x))
= 2sqrt(50) + sqrt(10x)
= 10sqrt(2) + sqrt(10x)
-----------------
3. (2-square root of 6)(1 + square root of 6)
= 2 - 6 + sqrt(6)
= -4 + sqrt(6)