5/sqrt of 30

how do I solv this?

30 = 5 * 2 * 3

all prime numbers
so sqrt (30) is sqrt (30) period
however
sqrt on the bottom is no fun, should rationalize
multiply top and bottom by sqrt 30
(5/sqrt30)(sqrt30/sqrt30)

= (5 sqrt 30) /30

= sqrt (30) /6

OHHH!!! okay, I get it(ish)

thank you!

To solve the expression 5/sqrt(30), you need to simplify it by rationalizing the denominator.

Step 1: Start by writing the expression as 5 * (1/sqrt(30)). This is because dividing a number by the square root is the same as multiplying it by the reciprocal of the square root.

Step 2: Next, we want to rationalize the denominator, which means removing the square root from the denominator. To do this, multiply both the numerator and the denominator by sqrt(30). This is done because multiplying by sqrt(30)/sqrt(30) is equivalent to multiplying by 1, which does not change the value of the expression.

5 * (1/sqrt(30)) * (sqrt(30)/sqrt(30))

Step 3: Simplify the expression by multiplying the numerator and denominator separately:

(5 * sqrt(30)) / (sqrt(30) * sqrt(30))

Step 4: The denominator becomes sqrt(30) * sqrt(30) which is equal to 30. Therefore, the expression simplifies to:

(5 * sqrt(30)) / 30

Step 5: Further simplify the expression by dividing the numerator by 30:

5 * sqrt(30) / 30

And that's your final answer.