Which of the following numbers are irrational number?
√9 ,√7, 0.6
Which of the following numbers are rational number?
1.414213 ..., root 5,0.5

Which of the following numbers are irrational number?

√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.

Which of the following numbers are rational number?

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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step-by-step explanation:

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x