aubreypowell
Answered

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go step by step to reduce the radical
[tex]\sqrt300[/tex]

Sagot :

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

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