Question

examine whether the following rational or irrational (5-√5)(5+√5)

Answer 1

Heya ✋

Let see your answer !!!!

(5 - √5) (5 + √5)

= 5(5 + √5) - √5(5 + √5)

= 25 + 5√5 - 5√5 - 5

= 25 - 5

= 20

Hence , (5 - √5) (5 + √5) is a rational number.







Thanks :))))

Answer 2

Concept

Rational numbers are numbers that can be expressed as a fraction as well as positive numbers, negative numbers, and zero. It can be written as p/q, where q is not equal to zero.

The word "rational" is derived from the word "ratio" which actually means the comparison of two or more values or whole numbers and is known as a fraction. Simply put, it is the ratio of two integers.

The numbers that are not rational are irrational numbers

Given

(5-√5)(5+√5) is given

Find

We need to find that (5-√5)(5+√5) is rational or irrational

Solution

Using property (a+b)(a-b) = a^2 - b^2, we get

(5-√5)(5+√5)= 5^2 - (√5)^2

= 25 - 5

=20

20 is a rational number

Hence (5-√5)(5+√5) is rational number

#SPJ2