simplify square root of 100/121 as much as possible

Answer:
[tex] ★\:\:\sqrt{ \frac{100}{121} } = \sqrt{ \frac{10 \times 10}{11 \times 11} } = \sqrt{ \frac{ {(10)}^{2} }{ {(11)}^{2} } }= \boxed{\frac{10}{11} }✓ \\ [/tex]