The given sequence is √8, √18, √32. We need to find the next term in the sequence.

Understanding the sequence:
The given sequence is a series of square roots of numbers. Each term is obtained by taking the square root of the next number in the sequence.

Finding the pattern:
To find the pattern in the sequence, let's calculate the square roots of the given numbers:

√8 = 2.828
√18 = 4.243
√32 = 5.657

Observations:
From the sequence, we can observe the following:

1. The square roots are increasing in value.
2. The difference between consecutive square roots is also increasing.

Finding the common difference:
To find the common difference, we can calculate the differences between consecutive terms:

Difference between √8 and √18:
4.243 - 2.828 = 1.415

Difference between √18 and √32:
5.657 - 4.243 = 1.414

Observation:
The differences between consecutive terms are approximately equal to 1.414.

Using the common difference to find the next term:
To find the next term in the sequence, we need to add the common difference to the last term.

√32 + 1.414 = 7.071

Therefore, the next term in the sequence is √50, which is approximately equal to 7.071.

Conclusion:
The next term in the sequence √8, √18, √32 is √50.