Question

Find the square root of the following numbers using prime factorisation method a) 4/9 b) 16/49 c) 100/121 d) 169/196​

Answer 1

(a)(4/9)½=(2²/3²)½=2/3; (b)(16/49)½= (4²/7²)½=4/7; (c)(100/121)½=(10²/11²)½=10/11; (d)(169/196)½=(13²/14²)½=13/14; Please mark the answer as brainliest.

Answer 2

Step-by-step explanation:

____ ___________. _____

(a) √(4/9)= √[( 2×2) / (3×3])= √ (2²/3²)= 2/3

_____. ______________

(b) √(16/49) = √[ (2×2×2×2)/ (7×7)]

______

= √ (2⁴/ 7²)= 2²/7 = 4/7

______. ______________

(c) √(100/121) = √ [ (2×2×5×5) /(11×11)

_________

= √( 2²×5²)/(11²)= 2×5/11= 10/11

______. ______________

(d) √169/196 = √(13×13) / (2×2×7×7)

__________

= √ ( 13²)/(2²×7²) = 13/(2×7)= 13 / 14