Question

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

Answer 1

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

Answer 2

`\sqrt{50x^(2) }=5x√(2)\\\sqrt{72x^(2)}=6x√(2)`

Explanation:

At first simplify each radical:

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

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

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

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

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

`\sqrt{50x^(2) }` and
`\sqrt{72x^(2)}`