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Polynomials

Question
CBSEENMA9001518

Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers.

3 square root of 18

Solution
3 square root of 18 equals 3 square root of 3 cross times 3 cross times 2 end root equals 3 cross times 3 square root of 2 equals 9 square root of 2
because space 9 left parenthesis not equal to 0 right parenthesis is a rational number and square root of 2 is an irrational number.
therefore space 9 square root of 2 is a irrational number.
therefore the product of a non-zero rational number with an irrational number is irrational .
therefore space 3 square root of 18 is an irrational number.

Some More Questions From Polynomials Chapter

Find two rational numbers between 0.1 and 0.2.