Question

unit test
unit test complete
what is the simplified form of \\(\sqrt{144x^{36}}\\)?
\\(\circ\\) \\(12x^6\\)
\\(\circ\\) \\(12x^{18}\\)
\\(\circ\\) \\(72x^6\\)
\\(\circ\\) \\(72x^{18}\\)

Explanation:

Step1: Split the square root

$\sqrt{144x^{36}} = \sqrt{144} \times \sqrt{x^{36}}$

Step2: Calculate square root of 144

$\sqrt{144} = 12$

Step3: Calculate square root of $x^{36}$

$\sqrt{x^{36}} = x^{\frac{36}{2}} = x^{18}$

Step4: Multiply results

$12 \times x^{18} = 12x^{18}$

Answer:

B. 12x¹⁸