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To simplify the expression 5√8 / (2 - √3), follow these steps:

Step 1: Simplify the radicals.
- Since √8 can be simplified, we can rewrite it as 2√2.
- Our expression becomes 5(2√2) / (2 - √3).

Step 2: Multiply the numerator and denominator by the conjugate of the denominator.
- The conjugate of 2 - √3 is 2 + √3.
- Multiply the numerator and denominator by 2 + √3 to eliminate the radical in the denominator.
- Our expression becomes (5(2√2) * (2 + √3)) / ((2 - √3) * (2 + √3))

Step 3: Simplify the expression by distributing and combining like terms.
- In the numerator: (5 * 2 * √2) + (5 * 2 * √3) = 10√2 + 10√3.
- In the denominator: (2 * 2) - (√3 * √3) = 4 - 3 = 1.
- Our expression becomes (10√2 + 10√3) / 1.
- Simplify further to 10√2 + 10√3.

So the simplified form of 5√8 / (2 - √3) is 10√2 + 10√3.