Question

Write 'true' or 'false' for the following statement :
1)
A definite rational numbers exist between2/3 and 8/9
2)root 2 + 1 is a rational number.​

Answer 1

Answer:

1. True

2. False

Step-by-step explanation:

1).

(2/3) = (2 * 9/3 * 9) = 18/27

(8/9) = (8 * 3/9 * 3) = 24/27

Here, We can see a definite rational numbers between 2/3 and 8/9.

Therefore, the given statement is True.

2).

Let it be rational.

Hence, √2 + 1 is a rational number.

==> √2 + 1 = a/b

==> √2 = (a/b) - 1

==> √2 = (a - b/b)

Here, (a - b/b) is a rational number.

But √2 is irrational.

Hence, √2 + 1 is a irrational number.

Therefore, the given statement is False.

#BeBrainly

Answer 2

$Hey Dear$

Write 'true' or 'false' for the following statement :

1)

A definite rational numbers exist between2/3 and 8/9 {True}

2)root 2 + 1 is a rational number.{True}