Divide 4√10/√2 . Provide an exact answer. (1 point)
Responses
This expression is already simplified and cannot be divided further.
This expression is already simplified and cannot be divided further.
45–√
4 start root 5 end root
25–√
2 start root 5 end root
210−−√
20-√3
To divide 4√10/√2, you can simplify by rationalizing the denominator.
First, multiply the expression by √2/√2: (4√10/√2) * (√2/√2)
This gives you 4√20/√(2*2) = 4√20/√4
Next, simplify the expression further: 4√20/2
Now, divide the numerator and denominator by 2: 2√20
Further simplification can be done by factoring out the largest perfect square from 20: 2√(4*5)
This simplifies to: 2√4 * √5 = 2*2√5
Finally, multiply 2*2 to get the exact answer: 4√5
So, the exact answer is 4√5.
To divide the expression 4√10/√2, we can simplify it as follows:
First, we can simplify the square roots separately.
√10 can be simplified to 2√2, since 10 can be factored into 2 * 5.
√2 remains as it is.
Now we can substitute the simplified square roots back into the expression:
4 * (2√2) / √2
Next, we cancel out the √2 in the numerator and denominator:
(4 * 2√2) / √2
This simplifies to:
8√2 / √2
Finally, we can cancel out the common factor of √2:
8
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1
Therefore, the exact answer is 8.