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

Explanation:

(A) The given expression is:

`√(4)+√(16)`

which can be written as:

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

(B) The given expression is:

`√(5)+√(36)`

which can be written as:

`√(5)+6` which is an irrational number.

(C) The given expression is:

`√(9)+√(24)`

which can be written as:

`3+√(24)` which is an irrational number.

(D) The given expression is:

`2{*}√(4)`

which can be written as:

`2{*}2=4` which is a rational number.

(E) The given expression is:

`√(49){*}√(81)`

which can be written as:

`7{*}9=63` which is a rational number.

(F) The given expression is:

`3√(12)`

which can be written as:

`6√(3)`which is an irrational number.