Question

Ouestion Number 16 Plzzzzzz alive it fast

Answer 1

Answer:

X^3 = 6

x*x*x = 6

X can’t be replaced by any rational no.

Answer 2

Answer:

Step-by-step explanation:

Let 3√6be a rational number

3√6=a/b

Cube on both sides

6=a3/b3

6b3=a3 (1 eq)

2(3b3) =a3

2 divides a3

By lemma

If a prime number divides the product of two integers then it must divide one of the two integers

2 divides a

Now k is an integer

a=2k (2 eq)

Put 2 eq in 1 eq,

6b3=8k3

b3=2{(2k3/3)}

2 divides b3

So, 2 divides both a and b

Which is contradiction

So, 3√6 is an irrational number