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Addition and subtraction of radicals of fraction
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by
WinpossibleUser3737
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addition and subtraction of radicals of fraction
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Responses
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Let us assume two fractions are a/b and c/d, so addition of there radicals would be
v(a/b) + v(c/d)
= va / vb + vc / vd
= (va * vd + vc * vb) / vb * vd
= {v(ad) + v(bc)} / v(bd)
Subtraction of radicals of above mentioned two fractions would be
v(a/b) - v(c/d)
= va / vb - vc / vd
= (va * vd - vc * vb) / vb * vd
= {v(ad) - v(bc)} / v(bd) |
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by
Winpossible
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Sep 07, 10 11:27AM PST
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More to the above answer:
Ex:
√(2/3a) – 2√(3/2a)
In this example we will first simplify the fractions and then we would subtract them
= √(2/3a) - 2√(3) /(√2 * √a)
= √(2/3a) - √2*√3 / √a
= √(2/3a) - √(2*3) / √a
= √(2/3a) - √6 / √a
= √2 / √(3a) - √6 / √a
= {√2 - √6 *√3 } / √(3a)
= √2 { 1 - √3*√3}/ √(3a)
= √2 { 1 - 3}/ √(3a)
= -2 √2 / √(3a)
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Imp Note : In the above explanation "v" stands for the radical sign(ie under-root sign), so please read the solution according to this.
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by
Winpossible
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Sep 07, 10 11:31AM PST
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