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:
[tex]\sqrt{(2^{2})(3)(5^{2}) }[/tex]
Now we split them up:
[tex]\sqrt{2^{2} } \sqrt{3} \sqrt{5^{2} }[/tex]
Now we apply the radical rule of [tex]\sqrt{a^{2} } = a[/tex] if a ≥ 0, for 2 then 5
√2² = 2
√5² = 5
2√3 ×5
Simplify to get
10√3
