Question

find thr value of a and b in the following equation √5+√3 by 2√5-3√3= a- b √ 15​

Answer 1

Answer:

a = -19/7 b = 5/7

Step-by-step explanation:

refer to the attachment

Answer 2

Answer:

$\frac{ \sqrt{5} + \sqrt{3} }{2 \sqrt{5} - 3 \sqrt{3} } = a - b \sqrt{15} \\ \frac{ \sqrt{5} + \sqrt{3} }{2 \sqrt{5} - 3 \sqrt{3} } \times \frac{2 \sqrt{5} + 3 \sqrt{3}}{2 \sqrt{5} + 3 \sqrt{3}} = a - b \sqrt{15} \\ \frac{10 + 3 \sqrt{15} + 2\sqrt{15} + 9 }{ {(2 \sqrt{5} )}^{2} - {(3 \sqrt{3} )}^{2} } = a - b \sqrt{15} \\ \frac{19 + 5 \sqrt{15} }{20 - 27} = a - b \sqrt{15} \\ \frac{19 + 5 \sqrt{15} }{ - 7} = a - b \sqrt{15} \\ - \frac{19}{7} - \frac{ 5 }{ 7} \sqrt{15} = a - b \sqrt{15} \\\blue{\mathfrak{\underline{\large{On \: comparing}}}:} \\ a = - \frac{19}{7} , \: \: b = \frac{5}{7} \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$