To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.
First, let's simplify the radical terms:
√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.
√3 cannot be simplified further since 3 is a prime number.
Now, let's substitute the simplified radical terms back into the expression:
5√8 + √3 becomes 5(2√2) + √3.
Next, we can multiply the coefficients outside the radicals:
5(2√2) is equal to 10√2.
Putting it all together, the simplified expression is:
10√2 + √3.
So, 5√8 + √3 simplifies to 10√2 + √3.