Question

If 1/b=√5 +2. then find the value of b.

Answer 1

Answer:

$b = (\sqrt{5} - 2)$

Step-by-step explanation:

Given That, $\frac{1}{b} = \sqrt{5} + 2$

∴ $b = \frac{1}{\sqrt{5} + 2 }$  [inverting both sides]

$=>b = \frac{\sqrt{5} - 2 }{(\sqrt{5} + 2)(\sqrt{5} - 2 ) }$  [multiplying both numerator and denominator by $(\sqrt{5} - 2 )$]

$=>b = \frac{(\sqrt{5} - 2) }{(\sqrt{5})^2 - 2^2 } = \frac{(\sqrt{5} - 2) }{5 - 4 } = (\sqrt{5} - 2)$

Answer 2

Answer:

0.24

Step-by-step explanation:

    1/b = √5 +2  

or, 1/b = 2.24 + 2

or, 1 = 4.24b

or, b = 100/424

or, b = 0.24