Rationalize the denominator 18/3root2+1

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Dane · Answer 1 · 2022-03-11T16:54:13+0000

Answer:

$(18(3\sqrt2-1))/(17)$

Explanation:

The given expression is :

$x=(18)/(3\sqrt2+1)$

We need to rationalize the denominator.

Multiplying and dividing both sides by
$3\sqrt2+1$ as follows :

$x=(18)/(3\sqrt2+1)* (3\sqrt2-1)/(3\sqrt2-1)\\\\=(18(3\sqrt2-1))/((3\sqrt2)^2-1)\\\\=(18(3\sqrt2-1))/((18-1)\\\\=(18(3\sqrt2-1))/(17)$

So, the answer is
$(18(3\sqrt2-1))/(17)$ .

Rationalize the denominator 18/3root2+1

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Rationalize the denominator 18/3root2+1