Question

Which of the following are examples of irrational numbers?

Answer 1

√4 + √16 = 2 + 4 = 6   <--- rational
√5 + √36 = √5 + 6   <--- irrational 
√9 + √24 = 3 + √24   <--- irrational
2 * √4 = 2 * 2 = 4   <--- rational 
√49 * √81 = 7 * 9 = 63   <---rational
3√12 = 3√(4 * 3) = (3 * 2)√3 = 6√3    <---irrational

Hope this helps ^-^

Answer 2

Answer:

Step-by-step explanation:

(A) The given expression is:

$\sqrt{4}+\sqrt{16}$

which can be written as:

$2+4=6$ which is a rational number.

(B) The given expression is:

$\sqrt{5}+\sqrt{36}$

which can be written as:

$\sqrt{5}+6$ which is an irrational number.

(C) The given expression is:

$\sqrt{9}+\sqrt{24}$

which can be written as:

$3+\sqrt{24}$ which is an irrational number.

(D) The given expression is:

$2{\times}\sqrt{4}$

which can be written as:

$2{\times}2=4$ which is a rational number.

(E) The given expression is:

$\sqrt{49}{\times}\sqrt{81}$

which can be written as:

$7{\times}9=63$ which is a rational number.

(F) The given expression is:

$3\sqrt{12}$

which can be written as:

$6\sqrt{3}$which is an irrational number.