Go step by step to reduce the radical \sqrt300

Question

Go step by step to reduce the radical

`\sqrt300`

Answer 1

10√3

Explanation:

First we do the prime factorisation of 300:

2²×3×5²

Now we put this into our surd:

`\sqrt{(2^(2))(3)(5^(2)) }`

Now we split them up:

`\sqrt{2^(2) } √(3) \sqrt{5^(2) }`

Now we apply the radical rule of
`\sqrt{a^(2) } = a` if a ≥ 0, for 2 then 5

√2² = 2
√5² = 5

2√3 ×5

Simplify to get

10√3