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19 votes
19 votes
Go step by step to reduce the radical

\sqrt300

User Paultechguy
by
2.6k points

1 Answer

14 votes
14 votes

Answer:

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

User Animesh Manglik
by
2.2k points