Math, asked by sravya1627, 1 day ago

rationalize the denominator 5 by 2 + root 3​

Answers

Answered by usharanimatli
0

Answer:

Denominator after rationalizing 7/(5√3-5√2)

Thus the denominator of 7/(5√3-5√2) is 25.

Answered by prachibarapatre
1

Here we have to rationalize the denominator

The number is \frac{5}{2+\sqrt{3} }

Rationalizing the denominator

=\frac{5}{2+\sqrt{3} } \times\frac{2-\sqrt{3} }{2-\sqrt{3} }

=\frac{5(2+\sqrt{3}) }{2^{2}-\sqrt{3} ^{2}  }

=\frac{5(2+\sqrt{3}) }{4-3}

=\frac{5(2+\sqrt{3}) }{1}

=5(2+\sqrt{3})

So, after rationalizing the denominator the answer will be 5(2+\sqrt{3})

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