Question

Identify the numbers and answer the following questions:

i) 6.1421346... II) 1.91(bar) iii) 0.326 iv) 2√125 v) √20/√5 vi) 5/7

a. Write any two rational numbers from the given numbers.

b. Write any two irrational numbers from the given numbers.​

Answer 1

Answer:

(i) sqrt(196) = sqrt((14) ^ 2) = 14

Hence, it is a rational number.

(ii) 3sqrt(18) = 3sqrt((3) ^ 2 * 2) = 3 * 3sqrt(2) = 9sqrt(2) Hence, it is an irrational number.

(iii) * sqrt(9/27) = sqrt(9/(9 * 3)) = i/(sqrt(3))

Hence, it is an irrational number, because sqrt(3) is an irrational number.

(iv) * sqrt(28/343) = (sqrt(2 * 2 * 7))/(sqrt(7 * 7 * 7)) = (2sqrt(7))/(7sqrt(7)) = 2/7

Hence, it is a rational number.

(v)- sqrt O.4 = - sqrt(4/10) = - 2/(sqrt(10)) Hence, it is an irrational number, because sqrt(10) is an irrational number.