Question

find square root by prime factorisation of 1734489
by a pic​

Answer 1

$\rule{300}{1.05}$

Answer:

$\sqrt{1734489}=1317$

Step-by-step explanation:

$\rule{300}{1.05}$

$\sqrt{1734489}$

$\rule{300}{1.05}$

$\mathrm{Factor\:the\:number:\:}\:1734489=1317\times1317=1317^2$

$=\sqrt{1317^2}$

$\rule{300}{1.05}$

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

$\sqrt{1317^2}=1317$

$=1317$

$\rule{300}{1.05}$