Question

Дробь 5√х+2/√х минус дробь 2√х/х

Answer 1

Ответ:5

Пошаговое объяснение: в знаменателе х, потом √х×(5√х+2)-2√х=5х+2√х-2√х=5х÷х=5

Answer 2

To simplify the expression, let's find a common denominator for the two fractions and then perform the subtraction.

The expression is:

(5√x + 2)/√x - 2√x/x

Step 1: Find a common denominator for the fractions. The common denominator will be x * √x since both fractions have different denominators but share a factor of √x.

Step 2: Adjust the numerators of each fraction accordingly:

For the first fraction (5√x + 2)/√x: To make the denominator x * √x, we multiply both the numerator and the denominator by √x: = (5√x + 2) * (√x)/(√x * √x) = (5√x + 2√x)/(x * √x)

For the second fraction 2√x/x: Since x = x/1, we can rewrite the fraction as: = (2√x * √x)/(x * √x) = (2√x * √x)/(x * √x * √x) = 2√x/(x * √x)

Now, the expression becomes:

(5√x + 2√x)/(x * √x) - 2√x/(x * √x)

Step 3: Combine the fractions with a common denominator:

= ((5√x + 2√x) - 2√x)/(x * √x)

Step 4: Simplify the numerator:

The √x terms in the numerator cancel out, leaving:

= (5√x)/(x * √x)

Step 5: Simplify further:

Now, we can cancel out one √x from the numerator and denominator:

= 5/√x

So, the simplified expression is 5/√x.