Question

find the square root of the following by division method 70.56





स्क्वायर रूट ऑफ द फॉलोइंग बाय डिविजन मेथड 70.56​

Answer 1

We write 70.56 in the form

70.56= 7056/100

​,and find the square root of 7056 and 100 separately using factorisation. Observe

7056=16×441=16×9×49=4²×3²×7²

Hence ✓(7056)=4×3×7=84. We also have √100=10.

Thus√70.56=√(7056/100)=84/10=8.4