Question

square root of 165 with division method

Answer 1

Hello !!

Not is possible you solve this question with the division method. See the demonstration below.

$\begin{array}{r|l}165&3\\55&5\\11&11\\1\end{array}$

But, is possible for this method. See...

$\mathsf{\sqrt{N}\approx\dfrac{N+B}{2\sqrt{B}}} \\\\\\ \mathsf{\sqrt{165}\approx\dfrac{165+169}{2\sqrt{169}}} \\\\\\ \mathsf{\sqrt{165}\approx\dfrac{334}{2\times13}} \\\\\\ \mathsf{\sqrt{165}\approx\dfrac{334}{26}} \\\\\\ \boxed{\mathsf{\sqrt{165}\approx 12.84}}$

Final result : 12.84 approx.

I hope I have collaborated !