Question

(5√5*124)/(√5-1)//...

Answer 1

Пошаговое объявление...

Answer 2

It seems like the expression you provided is incomplete, as it ends with "//...". I'll do my best to interpret what you might have intended and solve the expression.

Let's assume the expression is as follows:

(5√5 * 124) / (√5 - 1)

To solve this, follow these steps:

Step 1: Simplify the numerator 5√5 * 124 = 5 * 2 * √5 * 124 = 10√5 * 124

Step 2: Simplify the denominator √5 - 1

Step 3: Combine the numerator and denominator (10√5 * 124) / (√5 - 1)

Step 4: Rationalize the denominator To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of (√5 - 1), which is (√5 + 1).

(10√5 * 124) * (√5 + 1) / (√5 - 1) * (√5 + 1)

Step 5: Simplify the expression further

In the numerator: (10√5 * 124) * (√5 + 1) = 1240√5 * (√5 + 1)

In the denominator: (√5 - 1) * (√5 + 1) = (√5)^2 - 1^2 = 5 - 1 = 4

Now, the expression becomes:

1240√5 * (√5 + 1) / 4

Step 6: Divide and simplify We can simplify the expression further by dividing both the numerator and the denominator by 4.

(1240√5 * (√5 + 1)) / 4 = 310√5 * (√5 + 1)

So, the simplified expression is 310√5 * (√5 + 1).