Guest

4. Find the square roots of the following numbers by the Prime Factorisation Method. vii. 5929 viii. 9216 ix. 529 x. 8100

4. Find the square roots of the following numbers by the Prime Factorisation Method.  vii. 5929 viii. 9216 ix. 529 x. 8100 

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
one year ago
Dear Student



5929 = 7×7×11×11
⇒ 5929 =(7×7)×(11×11)
⇒ 5929 =(7×11)×(7×11)
⇒ 5929 = (7×11)2
⇒√5929=7×11=77


9216 = 2×2×2×2×2×2×2×2×2×2×3×3×1
⇒9216=(2×2)×(2×2)×(2×2)×(2×2)×(2×2)×(3×3)
⇒9216=(2×2×2×2×2×3)×(2×2×2×2×2×3)
⇒9216=96×96
⇒√9216=96


529 = 23×23 529
√529 = 23


8100 = 2×2×3×3×3×3×5×5×1
⇒ 8100 = (2×2) ×(3×3)×(3×3)×(5×5) ⇒ 8100 = (2×3×3×5)×(2×3×3×5)
⇒ 8100 = 90×90
⇒ 8100 = (90)2
⇒√8100=90


Thanks

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free