Question

100+ root100 whole root​

Answer 1

Answer:

$\sqrt{100+\sqrt{100}}=\sqrt{110}\quad \left(\mathrm{Decimal:\quad }\:10.48809\dots \right)$

Step-by-step explanation:

$\sqrt{100+\sqrt{100}}$

$\black{\sqrt{100}}$

$\gray{\mathrm{Factor\:the\:number:\:}\:100=10^2}$

$=\sqrt{10^2}$

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

$\gray{\sqrt{10^2}=10}$

$=10$

$=\sqrt{100+10}$

$\gray{\mathrm{Add\:the\:numbers:}\:100+10=110}$

$=\sqrt{110}$