SOLUTION: What is the exact value of the expression the square root of 9 times y to the fourth power. + 12the square root of y to the sixth power. − 3the square root of y to the sixth

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Question 812049: What is the exact value of the expression the square root of 9 times y to the fourth power. + 12the square root of y to the sixth power. − 3the square root of y to the sixth power. − the square root of y to the fourth power.? Simplify if possible.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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What is the exact value of the expression the square root of 9 times y to the fourth power. + 12the square root of y to the sixth power. − 3the square root of y to the sixth power. − the square root of y to the fourth power.? Simplify if possible.
:
sqrt%289y%5E4%29+%2B+12sqrt%28y%5E6%29+-+3sqrt%28y%5E6%29+-+sqrt%28y%5E4%29
in the first radical we can extract the square root of 9
3sqrt%28y%5E4%29+%2B+12sqrt%28y%5E6%29+-+3sqrt%28y%5E6%29+-+sqrt%28y%5E4%29
Group like terms and just do the math
3sqrt%28y%5E4%29+-+sqrt%28y%5E4%29 + 12sqrt%28y%5E6%29+-+3sqrt%28y%5E6%29
Which is
2sqrt%28y%5E4%29 + 9sqrt%28y%5E6%29
Extract those square roots
2%2Ay%5E2 + 9%2Ay%5E3