Question

if √5 = 2.236 then find,
√5/2 + 10/√5 + 125​

Answer 1

Given that √5 = 2.236, then to find is,

$\frac{ \sqrt{5} }{2} + \frac{10}{ \sqrt{5} } + 125$

By taking LCM,

$\frac{ \sqrt{5} \times \sqrt{5} + (10 \times 2) + 125(2)( \sqrt{5)} }{2 \sqrt{5} }$

$\frac{5 + 20 + 250 \sqrt{5} }{2 \sqrt{5} }$

$\frac{25 + 250(2.236) }{2(2.236)}$

$\frac{25 + 559}{4.472}$

$\frac{584}{4.472}$

$130.59$