How to Rationalize the Denominator?
Follow the steps mentioned below to rationalize the denominator of a fraction.
Step 1: To remove the radicals in the denominator, multiply both the denominator and numerator of the given fraction with a suitable radical.
Step 2: Make sure that all surds in the fraction are in their simplified form.
Step 3: If necessary, simplify the fraction further.
Simplify by rationalizing the denominator of (7 + √6)/(3 – √2)
The term “number system” refers to the representation of numbers, where a “number” is a mathematical value used in various mathematical operations such as counting, measuring, labeling, and computation. There are different types of numbers, such as natural numbers, whole numbers, integers, rational and irrational numbers, real numbers, etc. These numbers are used as digits in a number system. Similarly, a number system is classified into various types that have different properties, like a binary number system, an octal number system, a decimal number system, and a hexadecimal number system.
Radicals are an expression with a root, such as a square root, a cube root, a fourth root, etc. If the index of a radical expression is not mentioned, the root is assumed to be a square root. The “n√” is the radical symbol that means “nth root of”. For instance, the “nth root of (a-b)” is symbolically written as shown in the figure given below. Here, “n” refers to the index or degree, “(a-b)” is the radicand, and “(n√)’ is the radical symbol. The root of a whole number with an irrational value is called a surd. For example, √2, 5 + √3, 2√3, etc are some examples of surds.