Question

find the product of 1+3 √2 and 1-3 √2.is this product a rational or irrational?
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Answer 1

Answer:

Rational.

Step-by-step explanation:

(a - b)(a + b) =a² - b²

(1 + 3√2)(1 - 3√2) = 1² - (3√2)² = 1 - 18 = - 17 ∈ Q

Answer 2

Answer:

product of 1+ 3√2 and 1-3√2 is

(1 + 3√2)( 1- 3√2)

using identity (a+b) (a-b)= a^2 - b^2

(1)^2 - (3√2)^2

1 - 9 × √2× √2

1- 9× 2

1- 18

(-17)

It is a rational number.

MORE TO KNOW -

• What is rational number?

- Any no. which can be written in the form of p/q where q is not equal to zero is called a rational number.

- Its decimal expansion is terminating or repeating.

-ex 2,8,9,

• What is irrational no.?

- Any no. which can not be written in the form of p/q where q is not equal to zero is called an irrational number.

- Its decimal expansion non terminating non repeating.

- ex √2 , √3

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