Question

The length of a rectangle is 3 units and its width is square root of 3 unit. Is the area of the rectangle rational or irrational

Answer 1

@Catseyeglint911 @superhelp101

Answer 2

I know the answer is irrational, I just don't know how to get the actual answer

Answer 3

length times width = the area of a rectangle.

Answer 4

So 3 times the square root of 3 = the area.

Answer 5

okay but how would i multiply the radical

Answer 6

Do you have a calculator on you?

Answer 7

I think it would be \[3*3\frac{ 1 }{ 2 }\]

Answer 8

yes I o have a calculator

Answer 9

square root of 3 = 1.73205080757


3*1/2 is half of 3 not the square root.
Square root: a number that produces a specified quantity when multiplied by itself.

For example
3 * 2 = 6
but
3 * 3 = 9
which is why 3 is the square root of 9.
Make sense?

Answer 10

3 is length
sqrt 3 is width
a=lw
\[A=3\sqrt{3}\]

Answer 11

So the area would be 9?

Answer 12

no, the area would be \[3\sqrt{3}~~units^2\]

Answer 13

I got 5.2

Answer 14

if the area was 9 then the are would be rational which it isnt

Answer 15

5.2 is the rounded answer but
3sqrt3 is the exact answer

Answer 16

acxbox22 is right.
and by the way my answer is rounded.

Answer 17

ohhhh....... that makes sense now

Answer 18

@Catseyeglint911 how does \[3\sqrt{3}\] make 5.2

Answer 19

round the sqrt of 3 and multiply it by 3

Answer 20

Just multiply 3 by the square root of 3

Answer 21

oops typed too slow. XD

Answer 22

ohhhh... THAT MAKES A LOT O SENSE XD