Which numbers are irrational? Select all that apply.

a b and d

Step-by-step explanation: i'm not sure i just wanted to answer for 20 points. sry if i get it wrong

B) Square root of 45 and C) Square root of 30, are both irrational numbers, because they aren't perfect squares.

Explanation:

A square root can be defined as, "a factor of a number that, when multiplied by itself, gives the original number."

For example: 8 squared (8^2) is the same as 8 × 8 , which equals 64 , so the square root of 64 is 8. Since 64 is a perfect square, then it makes it a rational number.

Hope this makes sense to ya :)

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: