Which of the following numbers are irrational number?
Answer: √7
Explanation:
√7= a/b. where a and b are co primes(I.e a and b have no common factors other than 1)
So. √7 = a/b --> (1) Square on both sides, we will have.
7=a^2/b^2.
=> 7*b^2=a^2. --> (2)
=> a =7* c. Substitute the value of a in equation 2.
7*b^2= (7*c)^2.
7*b^2= 49*c^2.
b^2 = 7*c^2. Now again b^2 is divisible by 7.
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Which of the following numbers are rational number?
Answer: 0.5
Explanation:
Look at the decimal 0.5. You can get 0.5 with the division problem 1 divided by 2 (1 ÷ 2). Another way to write that division problem is 1/2. Since the 0.5 can be expressed (written as) as the fraction 1/2, 0.5 is a rational number.
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