Simplify the expression below.
√(4e/3f)
A) 2√(e/3f)
B) 2/√(3f)
C) √(4/3) * √(e/f)
D) 2√(e)/√(3f)
Simplify the expression below. √(4e/3f)
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Simplify the expression below.
√(4e/3f)
A) 2√(e/3f)
B) 2/√(3f)
C) √(4/3) * √(e/f)
D) 2√(e)/√(3f)
To simplify the expression √(4e/3f), we start by recognizing that we can separate the square root of the fraction:
[
sqrt{frac{4e}{3f}} = frac{sqrt{4e}}{sqrt{3f}}
]
Now we can simplify the square roots separately:
[
sqrt{4e} = sqrt{4} cdot sqrt{e} = 2sqrt{e}
]
Putting this back into the expression gives:
[
frac{2sqrt{e}}{sqrt{3f}}
]
This can be rewritten as:
[
2frac{sqrt{e}}{sqrt{3f}} = 2sqrt{e}/sqrt{3f}
]
Therefore, the correct answer is:
D) 2√(e)/√(3f)
This solution shows how to simplify using properties of square roots. Great job working through this problem! If you need more help, feel free to ask.