SOLUTION: Perform the indicated operations:
2√[48] + 7√[12] –√[27]
I have no clue how to even start this one..
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Question 144232: Perform the indicated operations:
2√[48] + 7√[12] –√[27]
I have no clue how to even start this one..
Found 3 solutions by scott8148, Earlsdon, stanbon:
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
factoring __ 2(sqrt(16))(sqrt(3))+7(sqrt(4))(sqrt(3))-(sqrt(9))(sqrt(3))
2(4)(sqrt(3))+7(2)(sqrt(3))-(3)(sqrt(3)) __ 8(sqrt(3))+14(sqrt(3))-3(sqrt(3)) __ 19(sqrt(3))
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Think perfect squares!
Evaluate:
Now factor each radicand (the number under the radical sign) so that one of the factors in each is a perfect square.
Now rewrite this to show the squared numbers.
Now take the square root of the squared numbers and move them outside of the radical.
Simplify this a bit.
Now factor out the .
Simplify.
...and there it is!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2√[48] + 7√[12] –√[27]
------------------------
You need to find the highest perfect square factor in 48,12,27.
--------------------------
= 2sqrt(16*3) + 7sqrt(4*3) - sqrt(9*3)
Take the square root of the perfect square factors out of the radical to get:
----------------------------
= 2*4sqrt(3) + 7*2sqrt(3) - 3sqrt(3)
= 8sqrt(3) + 14sqrt(3) - 3sqrt(3)
Simplify to get:
= 19sqrt(3)
=====================
Cheers,
Stan H.
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