Question

Find value of a and b
3+2√3 / 3-2√3 = a+b√3
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Answer 1

Step-by-step explanation:

From Rationalising

(3+2√3/3-2√3) × (3+2√3/3+2√3) = a + b√3

(3+2√3)²/(3)²-(2√3)² = a + b√3

(9+12+12√3)/(9-12) = a + b√3

(21 + 12√3)/(-3) = a + b√3

( -7) + (-4√3) = a + b√3

from Comparing

a = -7 , b = -4