Find the square root of: (i) 23394/729(ii) 2151/169(iii) 10151/225

1.	Find the square root of: (i) 23394/729(ii) 2151/169(iii) 10151/225
Answer» (i) \(23\frac{394}{729}\) √(23394/729) = √(17161/729) = \(4\frac{23}{27}\) (ii) \(21\frac{51}{169}\) = \(\sqrt{21\frac{51}{169}}\) = √(3600/169) = 60/13 = \(4\frac{8}{13}\) (iii) \(10\frac{151}{225}\) = \(\sqrt{10\frac{151}{225}}\) = √(2401/225) = 49/15 = \(3\frac{4}{15}\)

Answer»

(i) \(23\frac{394}{729}\)

√(23394/729)

= √(17161/729)

= \(4\frac{23}{27}\)

(ii) \(21\frac{51}{169}\)

= \(\sqrt{21\frac{51}{169}}\)

= √(3600/169)

= 60/13

= \(4\frac{8}{13}\)

(iii) \(10\frac{151}{225}\)

= \(\sqrt{10\frac{151}{225}}\)

= √(2401/225)

= 49/15

= \(3\frac{4}{15}\)

Discussion