Divide 4√10/√2. Provide an exact answer.
To divide 4√10 by √2, we can simplify as follows:
4√10 / √2 = (4/√2) * (√10/1)
Next, we can rationalize the denominator by multiplying both the numerator and denominator by √2:
= (4/√2) * (√10/1) * (√2/√2)
= (4*√2*√10) / (√2*√2)
= (4*√20) / (2)
= (4/2) * √20
= 2 * √20
√20 can be further simplified as √(4*5) = √4 * √5 = 2√5
Therefore, the exact answer is 2√5.
To divide the expression 4√10/√2, we need to simplify the square root terms and then divide.
First, let's simplify the square root terms:
√10 can be further simplified as √(2 * 5), which becomes √2 * √5.
So, 4√10 can be written as 4 * √2 * √5.
Now, let's divide:
(4 * √2 * √5) / √2 can be simplified by canceling out the common factor √2:
(4 * √5) / 1
which can be written simply as 4√5.
So, the exact answer is 4√5.
To divide the expression 4√10/√2, we can simplify the expression as follows:
Step 1: Divide the constant terms: 4/1 = 4.
Step 2: Simplify the square roots by dividing the numbers inside the radicals: √10/√2 = √(10/2) = √5.
Therefore, the exact answer is 4√5.