SOLUTION: Express as entire radicals in simplest form; a) 4 square root 7 answer is square root 112 b) -6 square root 3 answer is - square root 108 I am not sure how they go

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Question 937590: Express as entire radicals in simplest form;
a) 4 square root 7 answer is square root 112
b) -6 square root 3 answer is - square root 108
I am not sure how they got those answers
Thanks
Found 2 solutions by MathTherapy, MathLover1:
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Express as entire radicals in simplest form;
a) 4 square root 7 answer is square root 112
b) -6 square root 3 answer is - square root 108
I am not sure how they got those answers
Thanks

a)
4sqrt%287%29____sqrt%284%5E2+%2A+7%29_____sqrt%2816+%2A+7%29_____highlight_green%28sqrt%28112%29%29

b)
-+6sqrt%283%29____-+sqrt%286%5E2+%2A+3%29_____-+sqrt%2836+%2A+3%29_____highlight_green%28-+sqrt%28108%29%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a)
4sqrt%287%29 ....recall that 4=sqrt%284%5E2%29=sqrt%2816%29, so we will have
4sqrt%287%29=sqrt%284%5E2%2A7%29=sqrt%2816%2A7%29=sqrt%28112%29

b) -6sqrt%283%29=-sqrt%286%5E2%2A3%29=+-sqrt%2836%2A3%29=-sqrt%28108%29