Question

4. Find the square roots of the following numbers by the Prime Factorisation Method. (i) 729 (ii) 400 (ili) 1764 (iv) 4096 (V) 7744 (vi) 9604 (vii) 5929 (vii) 9216 (ix) 529 (x) 8100​

Answer 1

Answer:

Step-by-step explanation:

1) 729 = 3*3*3*3*3

$\sqrt{729}= \sqrt{3*3*3*3*3*3}=3*3*3 =27\\\\2)\sqrt{400} =\sqrt{2*2*2*2*5*5}=2*2*5=20\\\\3)\sqrt{1764}=\sqrt{2*2*3*3*7*7}=2*3*7=42\\\\4)\sqrt{4096}=\sqrt{2*2*2 *2*2*2 *2*2*2 *2*2*2}= 2*2*2*2*2*2=64\\\\5)\sqrt{7744}=\sqrt{2*2*2*2*2*2*11*11}=2*2*2*11=88\\\\6)\sqrt{9604}=\sqrt{2*2*7*7*7*7}=2*7*7= 98\\\\7)\sqrt{5929}=\sqrt{7*7*11*11}=7*11=77\\\\8)\sqrt{9216}=\sqrt{2*2*2*2*2*2*2*2*2*2*3*3}=2*2*2*2*2*3=96\\\\9)\sqrt{529}=\sqrt{23*23}=23\\\\10)\sqrt{8100}=\sqrt{3*3*3*3*2*2*5*5}=3*3*2*5=90$