Subtracting Radicals

How to do Subtracting Radicals:

In this blog we are going to learn about Subtracting Radicals.

Radicals and exponents are undoing of each other. Example 8 squared is 64 and radical 64 is 8.

Radical sign is denoted by "√ " and read as root .If there is no number above the radical sign , it is read as square root . Otherwise if it is ⁿ√ it is read as n^th root.

A radical is a number which has radicand and index. e.g. ³√7 is a radical whose radicand is 7 and index is 1/3

Every radical can be expressed in the form of rational exponents. e.g. ⁿ√(ay) = (ay)^1/n

Like radicals have same radicals and same indexes. e.g. ⁵√(7ab) , 9 ⁵√(7ab) are like radicals as they have same radicals 7ab and same indexes 1/5 , whereas ⁹√x² and ⁹ √y³ are not like radicals as they have same indexes but different radicals.

Example:

³√5 - ³√320 - ³√1715

Sol: ³√5 - ³√320 - ³√1715

= ³√5 - ³√(4³ × 5) - ³√( 7³× 5)

= ³√5 - 4 ³√5 - 7 ³√5

= (1 - 4 - 7)³√5

= -10 ³√5 .

Let's learn how to do adding radicals