Question

(√19-√17), (√15-√13) which is biggest

Answer 1

Answer: √15-√13 > √19-√17

Step-by-step explanation:

√19 = 4.3588

√17 = 4.1231

√19-√17 = 0.2357

√15 = 3.8729

√13 = 3.6055

√15-√13 = 0.2674

Answer 2

Step-by-step explanation:

Multiply √19-√17 by √19+√17 and divide it by √19+√17 =>

(√19-√17)(√19+√17)/(√19+√17)=>

2/(√19+√17).

Similarly we get with √15-√13 =>

2/(√15+√13)

when we compare the denominators of both these fractions

$\frac{2}{ (\sqrt{19} + \sqrt{17})} \: and \frac{2}{ (\sqrt{15} + \sqrt{13})}$

we know that (√19+√17) is greater than (√15+√13) so second fraction is greater than first fraction Hence √15-√13 is the biggest among the two. Hope it helps you.