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5 votes
If x=square root of 6 and y^2=12 then 4/xy=

2 Answers

7 votes
x = root(6)
y = root(12)
4/(root(6)*root(12)) = 4/root(72) multiply top and bottom by root(72)
4root(72)/72 =root(72)/18
root(72) = root(6^2 * 2) = 6root(2)
6root(2)/18 = root(2)/3
final answer root(2)/3
User Orlp
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5.8k points
2 votes
y² = 12
y = 2√3

x = √6

Now, 4 /xy
= 4/2√3√6
= 2 / 3√2
= √2/3

In short, Your Answer would be √2 / 3

Hope this helps!
User Kaspatoo
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6.4k points