Question

Select all irrational numbers.

Answer 1

1,2,3? hope it helped

Answer 2

Answer:

All of the above

Step-by-step explanation:

We have to find the irrational numbers.

Irrational number: The  number which can not be written as $\frac{p}{q}$ form, where p and q are integers and $q\neq 0$ then, the number is called irrational number.

a.$\sqrt{14}$

$\sqrt{2\times 7}$

$\sqrt{2}\times \sqrt{7}$

We know that $\sqrt{2}$ and $\sqrt{7}$ are irrational numbers and product of two different irrational numbers is irrational number.

Hence, it is irrational number.

b.$\sqrt{24}$

$\sqrt{2\times 2\times 2 \times 3}$

$2\sqrt{6}$

We know that $\sqrt6$ is a irrational number and 2 is rational number.The product of irrational number and rational number is irrational number.

Therefore, $\sqrt{24}$ is irrational number.

c.$\sqrt{34}$

$\sqrt{2}\times \sqrt{17}$

We know that $\sqrt{2}$ and $\sqrt{17}$ are irrational numbers and product of two different irrational numbers is irrational number.

Hence, it is irrational number.

d.$\sqrt{44}$

$\sqrt{2\times 2\times 11}$

$2\sqrt{11}$

We know that $\sqrt{11}$ is a irrational number and 2 is rational number.The product of irrational number and rational number is irrational number.

Hence, it is irrational number.

e.$\sqrt{54}$

$\sqrt{2\times 3\times 3\times 3}$

$3\sqrt{6}$

We know that $\sqrt6$ is a irrational number and 3 is rational number.The product of irrational number and rational number is irrational number.

Hence, it is irrational number.