How do you simplify 5/¡Ì12? I know you have to multiply the denominator,¡Ì12, by a radical to make a perfect square..
I think you're supposed to multiply it by 12? But there seems to be other numbers multiplied by 12 that can make a perfect square too, but 12's the first one I thought of. So then I got
¡Ì144, which equals 12. Is this right? What do I do next?
I can not read your symbol but assume it is a radical or sqrt sign
5 / sqrt 12
multiply top and bottom by sqrt 12
5 sqrt 12 / 12
= (5/12) sqrt (3*4)
= (10/12) sqrt 3
= (5/6) sqrt 3
how did you get (10/12) sqrt 3?
From (5/12) sqrt (3*4) , 2 is sqrt of 4. Multiplying that by 5/12 gives you 10/12 times the remaining sqrt 3.
I hope that helps a little more. Thanks for asking.
To simplify the expression 5/√12, you are correct that you need to multiply the denominator, √12, by a radical to make a perfect square.
First, let's break down the number 12 into its prime factors: 12 = 2 * 2 * 3.
Next, we identify any perfect square factors. In this case, we have one pair of 2's, which can be simplified to √(2*2) = √4.
Now we can simplify the denominator: √12 = √(2 * 2 * 3) = √(2 * 2) * √3 = √4 * √3 = 2√3.
Now we substitute the simplified denominator back into the expression:
5/√12 = 5/(2√3).
If we want to rationalize the denominator, we need to eliminate the square root from the denominator. To do this, we multiply both the numerator and denominator by the conjugate of the denominator, which is 2√3.
(5/(2√3)) * (2√3/2√3) = 10√3/6.
Therefore, the simplified form of 5/√12 is 10√3/6.