Question

simplify \\(\sqrt{22}\\)

Explanation:

Step1: Factorize 22

Factorize 22 into prime factors: \(22 = 2\times11\).

Step2: Check for perfect squares

Since 2 and 11 are both prime numbers (not perfect squares), there are no perfect square factors other than 1.

Step3: Determine simplification

For a square root \(\sqrt{a}\), if \(a = p\times q\) where \(p,q\) are primes (or non - perfect square factors), and no factor is a perfect square, then \(\sqrt{a}\) cannot be simplified further. So \(\sqrt{22}\) is already in its simplest form.

Answer:

\(\sqrt{22}\) (or it can be approximated as a decimal, \(\sqrt{22}\approx4.690\))