Question

how to find the square root of 1089 the fast way? (without using calculator)

Answer 1

its 33, theres no faster way than a calculator

Answer 2

Write the factors of 1089
\[1089=9 \times 121\]
\[1089=9 \times 11 \times 11\]
\[1089=3 \times 3 \times 11 \times 11\]
\[1089=3^2 \times 11^2\]
so
\[\sqrt {1089}=3 \times 11\]

Answer 3

\[\sqrt{9}\sqrt{121}\]
so thats 3 times 11 which is 33