What is Square Root of 9

• Square root of 9 is written as $\sqrt{9}$ (Radical form).
• Square root of 9 = $\sqrt{9}$ = $\sqrt{3 \times 3}$ = 3
• In the exponential form, the square root of 9 is expressed as $(9)^\frac{1}{2}$.

We will now calculate the square root of 9 by Prime Factorisation.

Square Root of 9 By Prime Factorization Method

• Step 1: Prime factors of 9: 3 x 3
• Step 2: Prime factors of 9 in pairs: (3 x 3)
• Step 3: Now square root of 9:

$\sqrt{9} = \sqrt{(3 \times 3)}$

$\sqrt{9} = \sqrt{ 3^2}$

$\sqrt{9} = 3$

Therefore, the square root of 9 is ±3