What is the simplified form of square root of 144x^36? A.) 12x^6B.) 12x^18C.) 72x^6D.) 72x^18
Accepted Solution
A:
Answer:The correct option is B.Step-by-step explanation:The given expression is[tex]\sqrt{144x^{36}}[/tex]Use the property of radicals.[tex]\sqrt{ab}=\sqrt{a}\sqrt{b}[/tex][tex]\sqrt{144x^{36}}=\sqrt{144}\times \sqrt{x^{36}}[/tex]Use the property of exponent.[tex]a^{mn}=(a^m)^n[/tex][tex]\sqrt{144x^{36}}=12\times \sqrt{(x^{18})^2}[/tex][tex]\sqrt{144x^{36}}=12\times x^{18}[/tex][tex]\sqrt{144x^{36}}=12x^{18}[/tex]Therefore option B is correct.