Question

Explain how irrational numbers differ from rational

Answer 1

(1) irrational numbers can not be written in form of

(1) irrational numbers can not be written in form ofp / q as p,q are integers and q ≠ 0

(1) irrational numbers can not be written in form ofp / q as p,q are integers and q ≠ 0(2) roots ( square root, cube root etc) of prime numbers are irrational number becouse they can not be terminated such that to write in form of p/q

(1) irrational numbers can not be written in form ofp / q as p,q are integers and q ≠ 0(2) roots ( square root, cube root etc) of prime numbers are irrational number becouse they can not be terminated such that to write in form of p/q(3) repeating decimal no are rational they can written in form of p/q

(1) irrational numbers can not be written in form ofp / q as p,q are integers and q ≠ 0(2) roots ( square root, cube root etc) of prime numbers are irrational number becouse they can not be terminated such that to write in form of p/q(3) repeating decimal no are rational they can written in form of p/q(4) example of rational numbers

(1) irrational numbers can not be written in form ofp / q as p,q are integers and q ≠ 0(2) roots ( square root, cube root etc) of prime numbers are irrational number becouse they can not be terminated such that to write in form of p/q(3) repeating decimal no are rational they can written in form of p/q(4) example of rational numbers

(1) irrational numbers can not be written in form ofp / q as p,q are integers and q ≠ 0(2) roots ( square root, cube root etc) of prime numbers are irrational number becouse they can not be terminated such that to write in form of p/q(3) repeating decimal no are rational they can written in form of p/q(4) example of rational numbers √3, √5 ,³√7, 13½,

(1) irrational numbers can not be written in form ofp / q as p,q are integers and q ≠ 0(2) roots ( square root, cube root etc) of prime numbers are irrational number becouse they can not be terminated such that to write in form of p/q(3) repeating decimal no are rational they can written in form of p/q(4) example of rational numbers √3, √5 ,³√7, 13½, (5) zero is not an irrational number becouse

(1) irrational numbers can not be written in form ofp / q as p,q are integers and q ≠ 0(2) roots ( square root, cube root etc) of prime numbers are irrational number becouse they can not be terminated such that to write in form of p/q(3) repeating decimal no are rational they can written in form of p/q(4) example of rational numbers √3, √5 ,³√7, 13½, (5) zero is not an irrational number becouse 0= 0/ N where N is a natural number and 0 is an intege.

Answer 2

$\huge\star\sf \underline \red{Solution:}$

An irrational number is a real number which can be written as a decimal but not as a fraction i.e. it cannot be expressed as a ratio of integers.

It cannot be expressed as terminating or repeating decimal.

For example, √2 is an irrational number

A rational number is a real number which can be written as a fraction and as a decimal i.e. it can be

expressed as a ratio of integers.

It can be expressed as terminating or repeating decimal.

For examples: 0.10 and 5/3 are rational numbers

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