find the value of a and b a+b√15=√5+√3/√5-√3

Open in App

Solution

( √5 + √3) / ( √5 - √3) = a + b √15

Rationlize it

(√5 +√3) / (√5 - √3) * (√5 + √3) / (√5 + √3)
= (8 + 2√15 ) / 2
= 4 + √15

Now compare both sides.

Answer: a = 4 , b = 1

Hope it helps
All the best.

Suggest Corrections

Similar questions

Find the value of a and b when a+b√15=√15+√3/√5-√3

\frac{\sqrt{5} + \sqrt{3}}{2 \sqrt{5} - 3 \sqrt{3}} = a - b \sqrt{15}

The expression $\frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$ when simplified reduces to $a - b \sqrt{15}$ .

Find the value of a + b .

^{'} a^{'}

^{'} b^{'}

a

b

\frac{\sqrt{5} + \sqrt{3}}{2 \sqrt{5} - 3 \sqrt{3}} = a - b \sqrt{15}

a

b

a

b

\frac{\sqrt{5} + \sqrt{3}}{2 \sqrt{5} - 3 \sqrt{3}} = a - b \sqrt{15}

Join BYJU'S Learning Program