How do you rationalize the denominator and simplify 4/sqrt24√2?

1 Answer
Tony B
Jul 24, 2016

2sqrt22√2

Explanation:

Multiply by 1 but in the form of 1=sqrt(2)/sqrt(2)1=√2√2

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color(blue)("Comment")Comment

Multiplying by 1 does not change the inherent value.
So multiplying by 1=sqrt2/sqrt21=√2√2 changes the way it looks without changing its inherent value.
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4/sqrt2xxsqrt2/sqrt2" " =" " (cancel(4)^2sqrt2)/(cancel(2)^1)

=2sqrt2

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