Rationalize the denominator of 3/(root2 - root5)
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Step-by-step explanation:
By the given data
\frac{3}{\sqrt{5}+\sqrt{2} }
5
+
2
3
Rationalizing the denominator
\frac{3(\sqrt{5}-\sqrt{2} ) }{(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2}) }
(
5
+
2
)(
5
−
2
)
3(
5
−
2
)
Multiplying and dividing with \sqrt{5} -\sqrt{2}
5
−
2
since it is the Rationalizing factor.
We get;
\frac{3(\sqrt{5} -\sqrt{2} ) }{3}
3
3(
5
−
2
)
Therefore our final answer is \sqrt{5} -\sqrt{2}
5
−
2
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