simplify the following radical expression : 4 sqrt (81/16)
a)3/2
b)2
c)2/3
d)3
a
I got a, also.
thanks quidditch so much for your help :)
4 sqrt (81/16)
= 4(9/4)
= 9
i got that as well Reiny but that's not one of the answer though
I think that the 4 is probably inside the "crook" of the radical sign to indicate the fourth root of (81/16).
If the problem means 4 times the sqrt
(81/16),then Reiny's answer(9) and
procedure is correct.
If the problem is asking for the 4th
root of(81/16), then the answer is a(3/2).
To simplify the given radical expression, 4√(81/16), we can break it down into two parts:
1. Simplify the square root term inside the radical: √(81/16).
To do this, we can simplify both the numerator and the denominator separately.
The square root of 81 is 9 because 9 * 9 = 81.
The square root of 16 is 4 because 4 * 4 = 16.
Thus, √(81/16) becomes √(9/4).
2. Simplify the entire expression outside the radical: 4√(9/4).
To simplify this expression, we can multiply the number outside the radical (4) with the number inside the radical (√(9/4)).
4 * √(9/4) = 4/1 * √(9/4) = (√(4) * √(9))/(√(4)) = (√(4 * 9))/(√4) = (√36)/2 = 6/2 = 3.
Hence, the simplified radical expression 4√(81/16) is equal to 3.
Therefore, option (d) 3 is the correct answer.