Question

Select all that are like radicals after simplifying. Sqrt50x^2, sqrt32x, sqrt18n, sqrt72x^2

Answer 1

Answer:

$\sqrt{50x^{2} }=5x\sqrt{2}\\\sqrt{72x^{2}}=6x\sqrt{2}$

Step-by-step explanation:

At first simplify each radical:

$\sqrt{50x^{2}} =\sqrt{(2)(25)x^{2}}=\sqrt{(2)(5^{2})x^{2}}=5x\sqrt{2}$

$\sqrt{32x}=\sqrt{(2)(16)x}=\sqrt{(2)(4^{2})x}=4\sqrt{2x}$

$\sqrt{18n}=\sqrt{(2)(9)n}=\sqrt{(2)(3^{2})n}=3\sqrt{2n}$

$\sqrt{72x^{2}}=\sqrt{(2)(36)x^{2}}=\sqrt{(2)(6^{2})x^{2}}=6x\sqrt{2}$

After the simplify of all radicals we found that the like radicals are:

$\sqrt{50x^{2} }$ and $\sqrt{72x^{2}}$

Answer 2

Answer:

\sqrt{50x^{2} } and \sqrt{72x^{2}}