nator and Simplify: (2sqrt (5)-sqrt (6))/(3-sqrt (5))

Question

Answer 1

To rationalize and simplify the expression

, we can multiply both the numerator and denominator by the conjugate of the denominator, which is

.So, we have:

Multiplying the numerators together, we get:

Expanding this, we have:

Simplifying further, we get:

Now, let's multiply the denominators together:

Using the difference of squares formula, we get:

Simplifying this, we have:

So, the rationalized and simplified expression is:

We can further simplify this by dividing each term in the numerator by 4:

Therefore, the final simplified expression is:

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