Question

(5+√2)/(5-√2)
jaldi btao​

Answer 1

Answer:

(a+b) (a-b) = a²-b²

(5+√2) (5-√2) = 5²-(√2)² = 25-2 = 23 .

Answer 2

Answer:

$\frac{27 + 10\sqrt{2}}{23}$

Step-by-step explanation:

(5+√2)/(5-√2)

Multiply this by $\frac{(5+\sqrt{2})}{(5+\sqrt{2})}$ (Because this equals to 1)

Now this is (denominator) in the form of (a+b) (a-b) which equals to $a^{2} - b^{2}$

=> $\frac{(5+\sqrt{2})(5+\sqrt{2})}{(5)^{2}+(\sqrt{2})^{2} }$

This is in the form $(a+b)^{2}$ which equals $a^{2} + b^{2} + 2ab$

=> $\frac{(5)^{2} + (\sqrt{2} )^{2} + 2 * 5 * \sqrt{2}}{25 - 2}$  => $\frac{25 + 2 + 10\sqrt{2} }{23}$ => $\frac{27 + 10\sqrt{2}}{23}$

So, now this your answer, you can try to find it using a calculator.