Question

what is square root of 1100

Answer 1

√1100

=√11*100

=√11*√10²

=10√11

=3.31*10

=33.1

hope helped!!^^

Answer 2

Answer:

$\sqrt{1100}=10\sqrt{11}\quad \left(\mathrm{Decimal:\quad }\:33.16624\dots \right)$

Step-by-step explanation:

$\sqrt{1100}$

$\gray{\mathrm{Prime\:factorization\:of\:}1100:\quad 2^2\cdot \:5^2\cdot \:11}$

$=\sqrt{2^2\cdot \:5^2\cdot \:11}$

$\gray{\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}}$

$=\sqrt{11}\sqrt{2^2}\sqrt{5^2}$

$\gray{\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a}$

$\gray{\sqrt{2^2}=2}$

$=2\sqrt{11}\sqrt{5^2}$

$\gray{\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a}$

$\gray{\sqrt{5^2}=5}$

$=2\cdot \:5\sqrt{11}$

$\gray{\mathrm{Refine}}$

$=10\sqrt{11}$