Sample Problems on Radicals

Introduction for radical:

The opposite operation to the exponent is known as radical. A radical is an expression which contains the square roots, cube roots etc. For example the expression √49 can also be called as square root of 49 or root of 49. Radicals have the same property of the numbers.

Examples for Radical:

Following are the examples of radicals.

Example 1 for radical problem:

Simplify the radical: √ (49) / (√36)

Step 1: Factors of 49 = 7 × 7

√ (49) = √ (7 × 7)

= √7²

Step 2: Square root of 7² = 49

Step 3: Factors of 36 = 6 × 6

√ (36) = √ (6 × 6) = √6²

Step 4: √6² = 6

Step 5: so, √ (49) / √36) = 7 / 6

The answer of the given radical is 7 / 6

Even Rules of Radicals helps us understand better in doing all the problems.

Example 2 for Radical Problem:

Simplify the radical: 3√8 × √12

Step 1: Find the factor of 8 = 2 × 2 × 2

Step 2: Take cubic root of 8 = 2

Step 3: Find the factor for 12 = 2 × 2 × 3

Step 4: Take square root of 12 = 2 √3

Step 5: so, 3√8 × √12 = 2 × 2 √3

The answer for the given radical is = 4√3

This was just a sample examples on this topic. keep reading and leaver your comments. if you like this. May be in the next session lets study on dividing radicals