Question

if a+b √6 = √3+√2/√3-√2 find a and b​

Answer 1

Answer:

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Step-by-step explanation:

this question is based on the concept of rationalisation.

√3 + √2/ √3-√2 * √3+√2/√3+√2

which you get as

(√3 + √2)^2 / (√3)^2 - (√2)^2

= 3+2+ 2√3√2 / 3-2

= 5 + 2√6 / 1

which is 5 + 2√6

hence a = 5 and b= 2

Answer 2

Answer:

a = 5 and b = 2

Step-by-step explanation:

a + b√6 = √3+√2/√3-√2 X √3+√2/√3+√2

a + b√6 = (√3+√2)²/(√3)²-(√2)²

a + b√6 = 3 + 2 + 2√6/3 - 2

a + b√6 = 5 + 2√6

on comparing,

a = 5 and b = 2

Hope it helps!!!