Operations on Radicals

1. You can combine radicals with different indices.

• TRUE

• FALSE

Tags

CCSS.HSN.RN.A.2

2. Adding and subtracting radical expressions is very much similar to adding and subtracting similar terms of polynomials.

• TRUE

• FALSE

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2

3. In the process of multiplying radicals, there are only three cases to be considered: (a) To multiply radicals of the same order. (b) To multiply binomials involving radicals. (c) To multiply radicals of different orders.

• TRUE

• FALSE

Tags

CCSS.HSN.RN.A.2

4. Rationalizing is necessary for the division of radicals.

• TRUE

• FALSE

Tags

CCSS.HSN.RN.A.2

5.

 $\frac{\sqrt{5}}{\sqrt{8}}=\frac{\sqrt{5}}{2\sqrt{10}}$  

• TRUE

• FALSE

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\sqrt{18}\cdot\sqrt{14}\ is\ equal\ to\ 6\sqrt{7}$  

• TRUE

• FALSE

Tags

CCSS.HSN.RN.A.2

The product of the square root of two positive integers is equal to the square root of the product of these integers.

• TRUE

• FALSE

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

The process of removing the radical from the numerator is called rationalizing the denominator.

• TRUE

• FALSE

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSN.RN.A.2

To multiply radical expressions with more than one term, use the associative property to remove parenthesis.

• TRUE

• FALSE

We add or subtract the indices and retain the radicand when we combine similar radicals.

• TRUE

• FALSE

Tags

CCSS.HSN.RN.A.2