Question

Simplify: (7+√3) / (7-√3)

Answer 1

Step-by-step explanation:

By Rationalizing the denominator

and using identity of (a+b)²= a²+b²+2ab

hope it will help you!!!

Answer 2

Answer:

The correct answer is $\frac{26 + 7\sqrt{3} }{23}$ .

Step-by-step explanation:

$\frac{7+\sqrt{3} }{7-\sqrt{3} }$ x $\frac{7+\sqrt{3} }{7+\sqrt{3} }$

= $\frac{(7+\sqrt{3})^{2} }{7^{2} -(\sqrt{3})^{2} }$

=$\frac{(7)^{2} + (\sqrt{3} )^{2+2(7)(\sqrt{3)} } }{49-3}$

=$\frac{49+3+14\sqrt{3} }{46}$

$=\frac{52+14\sqrt{3} }{46}$

$=\frac{2(26+7\sqrt{3})}{46}$

$=\frac{26+7\sqrt{3} }{23}$

Steps to solve the above question

Step 1:- Determine the denominator's conjugate.

Step 2:-Divide the fraction's numerator and denominator by the conjugate determined in Step 1.

Step 3:- Simplify each and every radical

Step 4:- If necessary, simplify the fraction.

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