0

Guest

Courses New

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 5963 Points
2 years 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 ?

Other Related Questions on 8 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More