How do you rationalize the denominator of 5 over square root of 3?

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How do you rationalize the denominator of 5 over square root of 3?

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Answer 1 · 2015-10-12T11:31:14

${5sqrt(3)}/3$

Explanation:

To razionalize means to get rid of roots at the denominator. Since $sqrt(a) * sqrt(a) = (sqrt(a))^2 = a$ , then we can multiply our fraction by $1$ , so that we won't change its value, but we will write $1$ in a smart form, in this case $sqrt(3)/sqrt(3)$ . Doing the multiplication, we get

$5/sqrt(3) * sqrt(3)/sqrt(3) = {5sqrt(3)}/{sqrt(3)*sqrt(3)} = {5sqrt(3)}/3$ .

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How do you rationalize the denominator of 5 over square root of 3?

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