Question

7. It
1+2√5/
5-2√5
= a + b √5, find the values of a and b.
plzz say answer fast in detail
plzzz​

Answer 1

sorry I Don know.............

Answer 2

Answer:

$\frac{1 + 2 \sqrt{5} }{5 - 2 \sqrt{5} } \times \frac{5 + 2 \sqrt{5} }{5 + 2 \sqrt{5} } = a + b \sqrt{5}$

$\frac{5 + 2 \sqrt{5 } + 10 \sqrt{5} + 20 }{25 - 20} = a + b \sqrt{5}$

$\frac{25 + 12 \sqrt{5} }{5} = a + b \sqrt{5}$

$25 + 12 \sqrt{5} = 5a + 5b \sqrt{5}$

$5a = 25 \\ a = 5$

$5b \sqrt{5} = 12 \sqrt{5 } \\ b = \frac{12}{5}$

Hope it helps