Question

rationalize the denominator 3 + root 2 divided by 4 root 2​

Answer 1

Hope this helps you!!!!

Answer 2

Answer:

$\frac{3\sqrt{2}+ 2 }{8}$ is the required value we get after rationalizing the denominator.

Step-by-step explanation:

Explanation:

Given in the question,$\frac{3+ \sqrt{2} }{4\sqrt{2} }$.

To rationalize the denominator;

• Therefore, we must remove all radicals from the denominator to justify it.

• Make sure all radicals are simplified before multiplying the numerator and denominator by a radical that will eliminate the radical in the denominator.

• If necessary, simplify the fraction.

Step 1:

We have, $\frac{3+ \sqrt{2} }{4\sqrt{2} }$

On rationalizing the denominator we get,

⇒$\frac{3+ \sqrt{2} }{4\sqrt{2} }$ × $\frac{\sqrt{2} }{\sqrt{2} }$ = $\frac{3\sqrt{2}+ (\sqrt{2} )^2 }{4(\sqrt{2} )^2}$

⇒$\frac{3\sqrt{2}+ 2 }{4 . 2}$ = $\frac{3\sqrt{2}+ 2 }{8}$

Final answer:

Hence, $\frac{3\sqrt{2}+ 2 }{8}$ is the required value we get after rationalizing the denominator.

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