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Find the square root of:(i) \(\frac{441}{961}\) (ii) \(\frac{324}{841}\) (iii) \(4\frac{29}{29}\) (iv) \(2\frac{14}{25}\) (v) \(2\frac{137}{196}\) (vi) \(23\frac{26}{121}\) (vii) \(25\frac{544}{729}\) (viii) \(75\frac{46}{49}\) (ix) \(3\frac{942}{2209}\) (x) \(3\frac{334}{3025}\) (xi) \(21\frac{2797}{3364}\) (xii) \(38\frac{11}{25}\) (xiii) \(23\frac{394}{729}\) (xiv) \(21\frac{51}{169}\) (xv) \(10\frac{151}{225}\) |
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Answer» (i) \(\frac{441}{961}\) \(\frac{\sqrt{441}}{\sqrt{961}}\)= \(\frac{21}{31}\) (ii) \(\frac{324}{841}\) \(\frac{\sqrt{324}}{\sqrt{841}}\) = \(\frac{18}{29}\) (iii) \(\frac{225}{49}\) \(\frac{\sqrt{225}}{\sqrt{49}}\) = \(\frac{15}{7}\) (iv) \(\frac{64}{25}\) \(\frac{\sqrt{64}}{\sqrt{25}}\) = \(\frac{8}{5}\) (v) \(\frac{529}{196}\) \(\frac{\sqrt{529}}{\sqrt{196}}\) = \(\frac{23}{14}\) (vi) \(\frac{2809}{121}\) \(\frac{\sqrt{2809}}{\sqrt{121}}\) = \(\frac{53}{11}\) (vii) \(\frac{18769}{729}\) \(\frac{\sqrt{18769}}{\sqrt{729}}\) = \(\frac{137}{27}\) (viii) \(\frac{3721}{49}\) \(\frac{\sqrt{3721}}{\sqrt{49}}\) = \(\frac{61}{7}\) (ix) \(\frac{7569}{2209}\) \(\frac{\sqrt{7569}}{\sqrt{2209}}\) = \(\frac{87}{47}\) (x) \(\frac{9409}{3025}\) \(\frac{\sqrt{9409}}{\sqrt{3025}}\) = \(\frac{97}{55}\) (xi) \(\frac{73441}{3364}\) \(\frac{\sqrt{73441}}{\sqrt{3364}}\) = \(\frac{271}{58}\) (xii) \(\frac{961}{25}\) \(\frac{\sqrt{961}}{\sqrt{25}}\) = \(\frac{31}{5}\) (xiii) \(\frac{17161}{729}\) \(\frac{\sqrt{17161}}{\sqrt{729}}\) = \(\frac{131}{27} \) (xiv) \(\frac{3600}{169}\) \(\frac{\sqrt{3600}}{\sqrt{169}}\) = \(\frac{60}{13}\) (xv) \(\frac{2401}{225}\) \(\frac{\sqrt{2401}}{\sqrt{225}}\) = \(\frac{49}{15}\) |
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