1st carry fractions of the nominator to difficulty-unfastened denominator 5/2 - 2/3 = (3*5)/(3*2) - (2*2)/(2*3) = 15/6 - 4/6 = (15-4)/6 = 11/6 2nd do an identical with fractions of the denominator 8 - 4/3 = (3*8)/3 - 4/3 = 24/3 - 4/3 = (24-4)/3 = 20/3 now divide the two ensuing fractions ( 11/6 ) / (20/3) turn 2nd fraction ( 11/6 ) * (3/20) rewrite as single fraction (11 * 3 ) / (6 * 20) divide the two aspects of the devision sign by potential of three 11 / (2 * 20) = 11 / 40
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Verified answer
ans is d. Just combine same terms of constants.
2√3 + 6√2 - 4√3 + √2
= 6√2 + √2 + 2√3 - 4√3
= 7√2 - 2√3 --- D
1st carry fractions of the nominator to difficulty-unfastened denominator 5/2 - 2/3 = (3*5)/(3*2) - (2*2)/(2*3) = 15/6 - 4/6 = (15-4)/6 = 11/6 2nd do an identical with fractions of the denominator 8 - 4/3 = (3*8)/3 - 4/3 = 24/3 - 4/3 = (24-4)/3 = 20/3 now divide the two ensuing fractions ( 11/6 ) / (20/3) turn 2nd fraction ( 11/6 ) * (3/20) rewrite as single fraction (11 * 3 ) / (6 * 20) divide the two aspects of the devision sign by potential of three 11 / (2 * 20) = 11 / 40
Hello,
Take common surds and simplify.
i.e,
First rearrange --->
2√3 - 4√3 + 6√2 + √2
take common surds, (2-4)√3 + (6+1) √2 = -2√3 + 7√2 --> 7√2 - 2√3
So the answer is d. 7√2 - 2√3