Question

In the slideshow Simplifying Radicals, under media in Chapter 9, one specific condition to satisfy is to use the quotient rule.

A. True
B. False

Answer 1

True

Explanation:

In Mathematics, A radical symbol is defined as √

It is an expression that is uses a root, such as the square root (√ ) or cube root ( ∛ )

To fully show a radical expression:

`√(A)`

A is the radicand

√ is the radical symbol

Here, the degree is 2.

Quotient Rule for Radicals

For non- negative real numbers, x and y:

`\frac{\sqrt[n]{x}}{\sqrt[n]{y} }` =
`\sqrt[n]{(x)/(y)}`

Example :

`\sqrt{(36)/(9)}`=
`(√(36))/(√(9) )` =
`(6)/(3)` = 2

So, in simplifying radicals, quotient rule is used as demonstrated above. So the condition is true