Question

if x =(√21- √20) and y =(√18 - √17), then.
(a) x = y
(b) x > y
(c) x > y
(d) x + y​

Answer 1

$\mathbb{HEY MATE YOUR ANSWER IS HERE }$







$( \sqrt{21} - \sqrt{20} ) \: and \: ( \sqrt{18} - \sqrt{17} ) \\ \\ = ( \sqrt{1)} and \: ( \sqrt{1} ) \\ \\ therefore \: \: \: \: \: x = y$

Hence OPTION (A )






$\mathbb{HOPE IT HELPS YOU}$

Answer 2

here is your answer mate.....

√21 =

$\sqrt{16 + 5 } = 4 +( 5 \div 8 ) = 4 + 0.625 = 4.625$

and √20 =

$\sqrt{20} = \sqrt{16 + 4} = 4 + (4 \div 8) = 4.5$

then... √21 -√20 = 4.625-4.5 = 0.125

and...

√18 =

$\sqrt{16 + 2} = 4 + (2 \div 8) = 4.25$

and √17 =

$\sqrt{16 + 1} = 4 + (1 \div 8) = 4.125$

then √18-√17 =

4.250-4.125 = 0.125

then... option a is correct that is

X= y.

hope it helps you....