Multiplying and Dividing Radicals

Our today’s topic is Multiplying and Dividing radicals.

Radicals involve the use of the radical sign (√). Sometimes these are called surd. The radical sign is generally taken to indicate the principal root of the radicand, although any radicand will have n different nth roots. The term radical is sometimes used loosely to refer to the entire expression consisting of radical sign and radicand. A radical is a symbol for the indicated root of a number, for example a square root or cube root; the term is also synonymous for the root itself.

The expression &NA; = P is called the radical expression, where n is the indicated root index, R is a real number and P is the nth root of number R such that Pⁿ = R.

How to Simplify Radical Expression:

You can simplify radical expression by involving variables and also numbers. When using radical expressions you will be able to break down the number into smaller pieces.

The product of two radicals with same index n can be found by multiplying the radicands and placing the result under the same radical. For example, √9 × √25 = √(9×25) = √225 = 15, which is equal to 3 × 5 = √9 × √25. Similarly, radicals with the same index sign can be divided by placing the quotient of the radicands under the same radical, then taking the appropriate root.

Example problem on Radical Expressions Calculator:-

Solve the radical expression √30

Solution:

Given that √40

√40 written as √4 * 10 = 40

√40 = √4 * 10

= √2² * 10

4 has multiples of 2*2 =4

= √2² √10

= 2 √10

The solution is 2√ 10