Simplify the Following :-
(a) [tex]\frac{2\sqrt{30}}{\sqrt{6}} - \frac{3\sqrt{140}}{\sqrt{28}} + \frac{\sqrt{55}}{\sqrt{99}}[/tex]
(b) [tex]\frac{2\sqrt{13}}{3\sqrt{52} - 4\sqrt{117}}[/tex]
(a) [tex]\frac{2\sqrt{30}}{\sqrt{6}} - \frac{3\sqrt{140}}{\sqrt{28}} + \frac{\sqrt{55}}{\sqrt{99}}[/tex]
(b) [tex]\frac{2\sqrt{13}}{3\sqrt{52} - 4\sqrt{117}}[/tex]
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Answer:
(a)
2*√30/√6 - 3*√140/28 + √55/√99
= 2√5 - 3√5+√5/3
=(6-9+1)√5/3
= - 2√5/3
(b)
2√13/(3√52-4√117)
= 2/(3√4 - 4√9)
= 2/(3*2 - 4*3)
= 2/(6-12)
= 2/(-6)
= - 1/3
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