Question

Rationalise the denominators of
a) 5+√3 / √3+√2
b) 5+√3 / 4-√3
Whoever gives this answer correctly will be marked as brainliest

Answer 1

Step-by-step explanation:

a)( 5+√3)(√3-√2)/(√3+√2)(√3-√2)

=>(5√3-5√2+3-6)/3-2

=>5(√3-√2)-3/1

=>5(1.58)-3

=>7.9-3=>4.9(or)5

b) (5+√3)(4+√3)/(4-√3)(4+√3)

=>20+5√3+4√3+3/16-3

=>27+7√3/13

i hope it's helpful..

Answer 2

Answer:

$\huge\fcolorbox{black}{pink}{Answer-}$

1 )

$\frac{5 + \sqrt{3} }{ \sqrt{3} + \sqrt{2} } \\ = \frac{(5 + \sqrt{3}) \times \sqrt{6} }{ \sqrt{6} \times \sqrt{6} } \\ = \frac{5 \sqrt{6} + \sqrt{18} }{6}$

$\frac{5 + \sqrt{3} }{4 - \sqrt{3} } \\ = \frac{(5 + \sqrt{3} )(4 + \sqrt{3}) }{(4 - \sqrt{3} )(4 + \sqrt{3}) } \\ = \frac{20 + 5 \sqrt{3} + 4 \sqrt{3} + 3}{4 - 3} \\ = \frac{23 + 9 \sqrt{3} }{1}$