Before we begin, we want to work with sqrt(48) alone for a moment:
sqrt(48) = sqrt(4 x 12) = sqrt(4 x 4 x 3) = 4 sqrt(3) .
Now, with sqrt(12) alone:
sqrt(12) = sqrt(4 x 3) = 2 sqrt(3).
Now we can plug both of those into the big expression given in the question:
9 sqrt(48) + 3 sqrt(12) = 9 [ 4 sqrt(3) ] + 3 [ 2 sqrt(3) ] =
[ (9 x 4) + (3 x 2) ] sqrt(3) = [ 36 + 6 ] sqrt(3) = 42 sqrt(3)
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It is 16 +/- 12*sqrt(3)*i where i is the imaginary square root of -1
Two times the square root of three plus five times the square root of three plus four times the square root of three equals eleven times the square root of three.
Yes, the square root of 48 is an irrational number. This is because 48 can be simplified to (4 \times 12), and since the square root of 4 is a whole number (2), we can express (\sqrt{48}) as (2\sqrt{12}). The square root of 12, however, is not a perfect square and cannot be simplified to a whole number, making (\sqrt{48}) irrational.
Assuming the roots are positive, then ~ 15.59.
The square root of 144 is 12 Perimeter = 4*12 = 48 meters