Question

find the square root by using prime factorisation.

196
225
256
324
400
441
625
729
900
1024
​

Answer 1

Step-by-step explanation:

(i) 729=3×3×3×3×3×3= 3

2

×3

2

×3

2

√729

=27

(ii) 400= 2

2

×2

2

×5

2

√400

=20

(iii) 1764= 2

2

×2

2

×7

2

√1764

=42

(iv) 4096= 2

2

×2

2

×2

2

×2

2

×2

2

×2

2

√4096

=64

(v) 7744= 2

2

×2

2

×2

2

×11

2

√7744

=88

(vi) 9604= 2

2

×7

2

×7

2

√9604

=98

(vii) 5929= 11

2

×7

2

√5929

=77

(viii) 9216= 96

2

√9216

=96

(ix) 529=23×23

√529

=23

(x) 8100=90

2

√8100

=90.

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