SOLUTION: simplify each radical if possible if already simplified, write simplified 13 times the square root of 27 1/4 times the square root of 48

Question 475142: simplify each radical if possible if already simplified, write simplified
13 times the square root of 27
1/4 times the square root of 48

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
square root of (27) is equivalent to the square root of (3^2 * 3).
You can take the 3^2 out of the square root sign by making it a 3.
your equation of 13 * square root of (27) becomes 13 * 3 * square root of (3) which becomes 39 * square root of (3).
square root of 48 equivalent to square root of (4^2 * 3).
You can take the 4^2 out of the square root sign by making it a 4.
your equation of 1/4 * square root of (48) becomes 1/4 * 4 * square root of (3) which becomes square root of (3).
In equation form, this becomes:
13*sqrt(27) = 13*3*sqrt(3) = 39*sqrt(3)
(1/4)*sqrt(48) = (1/4)*4*sqrt(3) = sqrt(3)

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