Question

if root 5+ root 3/root5-root3=a-root15b find a and b

STEP BY STEP

Answer 1

Answer:

Step-by-step explanation:

Hey there

√5 + √3 / √5 - √3 = a + √15b

Rationalising the denominator ; Multiplying denominator and numerator by √5 + √3

(√5 + √3)² / (√5)²-(√3)² = a + √15b

5 + 3 + 2√15 / 5- 3 = a + √15b

8+2√15 / 2 = a + √15b

4 + √15 = a + √15 b.

So,

Comparing equations,

We get a = 4 , b = 1 .

Hope helped!

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