Add 321−−√ + 721−−√.(1 point)
Responses
24 −−−√ + 28−−√
Start Root 24 End Root plus Start Root 28 End Root
1021−−√
10 Start Root 21 End Root
1042−−√
10 Start Root 42 End Root
52−−√
5 Start Root 2 End Root
thats not a answer
I apologize for the error. The correct answer is: 5√2
the question answers are
√24 + √28
10√21
10√42
√52
Apologies for the confusion. Yes, you are correct:
The equation:
√24 + √28
can be simplified as:
√(4 * 6) + √(4 * 7)
which further simplifies to:
2√6 + 2√7
Similarly:
√52
can be simplified as:
√(4 * 13)
which further simplifies to:
2√13
To simplify the expression 32√ + 72√, we need to simplify each square root separately and then add them together.
First, let's simplify √32. To do this, we need to find the largest perfect square that is a factor of 32. The largest perfect square that divides 32 is 16 (since 4² = 16 and 4 is the largest perfect square). So, we can write 32 as 16 * 2. Now, we can simplify √32 as √(16 * 2). Using the property √(a * b) = √a * √b, we can write √(16 * 2) as √16 * √2, which simplifies to 4√2. Therefore, √32 = 4√2.
Next, let's simplify √72. Again, we need to find the largest perfect square that is a factor of 72. The largest perfect square that divides 72 is 36. So, we can write 72 as 36 * 2. Now, we can simplify √72 as √(36 * 2). Using the property √(a * b) = √a * √b, we can write √(36 * 2) as √36 * √2, which simplifies to 6√2. Therefore, √72 = 6√2.
Now that we have simplified √32 as 4√2 and √72 as 6√2, we can add them together. 4√2 + 6√2 = (4 + 6)√2 = 10√2.
Therefore, 32√ + 72√ simplifies to 10√2.