Divide 4√10/√2
. Provide an exact answer
To divide the expression 4√10/√2, we need to rationalize the denominator.
First, let's rationalize the denominator by multiplying both the numerator and the denominator by √2:
(4√10/√2) * (√2/√2) = (4√10√2)/(√2√2) = (4√20)/(√4) = 4√20/2
Simplifying the expression further, we get:
4√20/2 = 2√20 = 2√(4*5) = 2√4√5 = 2*2√5 = 4√5
So, the exact answer to 4√10/√2 is 4√5.
To divide 4√10 by √2, we can simplify the expression by rationalizing the denominator.
Step 1: Multiply the numerator and the denominator by √2.
(4√10/√2) * (√2/√2)
Step 2: Simplify the expression.
(4√10 * √2) / (√2 * √2)
Step 3: Simplify the expression in the denominator.
(4√10 * √2) / (√2 * √2) = (4√20) / 2
Step 4: Simplify the expression in the numerator.
(4√20) / 2 = 2√20 = 2 * √(4 * 5) = 2 * (2√5) = 4√5
So, 4√10/√2 is equal to 4√5.
To divide 4√10/√2 and provide an exact answer, you can simplify the expression as follows:
Step 1: Rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator (√2).
(4√10/√2) * (√2/√2) = (4√10 * √2) / (√2 * √2) = (4√10 * √2) / 2
Step 2: Simplify the expression by multiplying the terms.
(4√10 * √2) / 2 = (4 * 2 * √10) / 2 = (8√10) / 2 = 4√10
Therefore, the exact answer to 4√10/√2 is 4√10.