Question

I need help with my math homework. i need just need help with number 18.Use the properties of radicals to simplify the expression.

Answer 1

`(1)/(4)`

18) We can simplify that expression this way, using this property and then rewriting and then operating it

`\frac{\sqrt[]{a}}{\sqrt[]{b}}=\sqrt[]{(a)/(b)}`

`\frac{\sqrt[]{2}}{\sqrt[]{32}}=\sqrt[]{(2)/(32)}=\sqrt[]{(1)/(16)}=(1)/(4)`

Notice that we divided both numerator and denominator by 2 and then we could take the square root of 1/16. Remember that the square root of 1 is one and 16 is 4.

18.2) Then, the answer is 1/4