Question

please solve
$\sqrt{3000}$
by long division method​

Answer 1

Answer:

3000 is not a perfect square number.

still the square root is :

$\large Factor 3000=10^{2}\times 303000=10 </p><p>2</p><p> ×30. Rewrite the square root of the product \sqrt{10^{2}\times 30}\approx 54.772255751 </p><p>10 </p><p>2</p><p> ×30</p><p> </p><p> ≈54.772255751 as the product of square roots \sqrt{10^{2}}\sqrt{30}\approx 54.772255751 </p><p>10 </p><p>2</p><p> </p><p> </p><p> </p><p>30</p><p> </p><p> ≈54.772255751. Take the square root of 10^{2}\approx 10010 </p><p>2</p><p> ≈100.$

so, the answer is

$\large 10\sqrt{30}\approx 54.772255751$