Aubreypowellidn
Answered

Join IDNLearn.com to access a wealth of knowledge and get your questions answered by experts. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

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

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.