Math, asked by gyam9674, 9 months ago

Rationalize the denominator 4/3-root 15

Answers

Answered by BrainlyIAS
4

Answer :

-(6+2√15)/3

Step-by-step explanation :

\frac{4}{3-\sqrt{15} }

We need to rationalize the denominator.

So , rationalizing factor of 3-√15 is 3+√15.

=>\frac{4}{3-\sqrt{15} } *\frac{3+\sqrt{15}}{3+\sqrt{15}} \\\\=>\frac{12+4\sqrt{15}}{9-15}\\\\ =>\frac{12+4\sqrt{15}}{-6}\\\\ =>\frac{-(6+2\sqrt{15})}{3}

More Information :

                    Rationalization is the process of eliminating a radicals or imaginary number from the denominator or numerator  of an algebraic fraction. ... Multiply a same factor in the numerator and denominator.

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Answered by laxmanram1615
0

Answer:

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