Question

* Find the square roots of the following numbers by the Prime Factorisation Med 989 (10) 400 (iii) 1764 (iv) 4096 (1) 9604 (vii) 5929 (viii) 9216 ( 8100​

Answer 1

Answer:

729

\sqrt{729}=\sqrt{3\times3\times3\times3\times3\times3}

= 3 x 3 x 3

= 27

(ii) 400

\sqrt{400}=\sqrt{2\times2\times2\times2\times5\times5}

= 2 x 2 x 5

= 20

(iii) 1764

\sqrt{1764}=\sqrt{2\times2\times3\times3\times7\times7}

= 2 x 3 x 7

= 42

Step-by-step explanation:

hope it's help you

Answer 2

Answer:

(ii) 400 = 2×2×2×2×5

=2×2×5

=20

therefore, square root of 400 is 20.

(iii) 1764 = 2×2×3×3×7×7

= 2×3×7

= 42

therefore, square root of 1764 is 42.

(iv) 4096 = 2×2×2×2×2×2×2×2×2×2×2×2

= 2×2×2×2×2×2

= 64

Square root = 64

(v) 9604 = 2×2×7×7×7×7

= 2×7×7

Square root = 98

(vii) 5929 = 7×7×11×11

= 7×11

Square root = 77

(viii) 9216 = 2×2×2×2×2×2×2×2×2×2×3×3

= 2×2×2×2×2×3

Square root = 96

(ix) 8100 = 2×2×3×3×3×3×5×5

= 2×3×3×5

Square root = 90