simplify the following radical expression : 4 sqrt (81)/ (16)
a) 2/3
b) 3/2
c) 2
d) 3
Huh ?
4*9/4 = 9
no damon i think its b
oh you mean
(81/16)^(1/4)
that is
sqrt (9/4)
which is
3/2
please try to pick up notation for expressing exponents on keyboard.
To simplify the given radical expression, we can break it down into multiple steps:
Step 1: Simplify the numerator, which is 4√81.
√81 = 9 because 9 * 9 = 81.
Therefore, 4√81 = 4 * 9 = 36.
So the numerator becomes 36.
Step 2: Simplify the denominator, which is 16.
Since 16 is a perfect square, we can find its square root.
√16 = 4 because 4 * 4 = 16.
So the denominator becomes 4.
Step 3: Simplify the expression by dividing the numerator by the denominator:
36/4 = 9.
Therefore, the simplified expression is 9.
So the answer is d) 3.