Question

express 2\3×2\3×2\3×2\3 i​

Answer 1

Answer:

See below

Step-by-step explanation:

(2√3+3√2)/(2√3-3√2)

multiply numerator and denominator by (2√3+3√2), we get

=[(2√3+3√2)(2√3+3√2)]/[(2√3-3√2)(2√3+3√2)]

=(2√3+3√2)²/[(2√3)²-(3√2)²]

=[(2√3)²+(3√2)²+2*(2√3)(3√2)]/(12-18)

= (12+18+12√6)/(-6)

=(30+12√6)/(-6)

=[6(5+2√6)]/(-6)

=- (5+2√6)

= -5 +(-2)√6

Compare this with a+b√c , we get

a = -5 , b = -2 , c = 6

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