SOLUTION: Thank you for allowing me to ask a question. My instructions say: Simplify {{{4 square root 8 minus 6 over square root 2}}} What I've tried: I broke 4 square root 8 dow

Algebra ->  Radicals -> SOLUTION: Thank you for allowing me to ask a question. My instructions say: Simplify {{{4 square root 8 minus 6 over square root 2}}} What I've tried: I broke 4 square root 8 dow      Log On


   

Question 146186This question is from textbook Elementary Algebra
: Thank you for allowing me to ask a question. My instructions say:
Simplify 4+square+root+8+minus+6+over+square+root+2
What I've tried:
I broke 4 square root 8 down to 4 square root 2 times 2 times 2,
multiplied 6 over the square root 2 by square root 2 over square root 2,
this gave me 8 square root 2 minus 2 times 3 square root 2 over 2,
which I then croseed out the 2 over 2 and am left with 8 square root 2 minus 3 square root 2.
I believe my answer is 5 square root 2.
Thanks for any input!! This question is from textbook Elementary Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4 square root 8 minus 6 over square root 2
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[4sqrt(8) - 6] /sqrt(2)
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Multiply numerator and denominatorby sqrt(2) to get:
= [4sqrt(16) -6sqrt(2)]/2
= [4*4 -6sqrt(2)] / 2
= 8 - 3sqrt(2)
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Cheers,
Stan H.