Question

go step by step to reduce the radical
$\sqrt300$

Answer 1

Answer:

10√3

Step-by-step 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:

$\sqrt{2^{2} } \sqrt{3} \sqrt{5^{2} }$

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