Question

Освободите выражение от иррациональности в знаменателе: а) b б) 8 ____________ _______________ 2 ( корень ) 5 3 - ( корень ) m Срочно решите

Answer 1

Решение
a)  b/(2√5) = {b*√5) / (2*√5*√5) = b√5 / 10
б)  8 / (3 - √m) = [8*(3 + √m] / [(3 - √m)*(3 + √m)] =  [8*(3 + √m] / (9 - m)

Answer 2

Solving the Expression for Irrationality in the Denominator

To solve the given expression and remove the irrationality in the denominator, we can follow these steps:

1. Identify the Given Expression: The given expression is: a) b + 8 / (2 * sqrt(5) - sqrt(m))

2. Rationalizing the Denominator: To remove the irrationality in the denominator, we can use the conjugate of the denominator. The conjugate of a - b is a + b. Therefore, we multiply the numerator and denominator by the conjugate of the denominator.

3. Applying the Conjugate: The conjugate of the denominator, 2 * sqrt(5) - sqrt(m), is 2 * sqrt(5) + sqrt(m). We multiply the numerator and denominator by 2 * sqrt(5) + sqrt(m).

4. Solving the Expression: After multiplying the numerator and denominator by the conjugate, we simplify the expression to obtain the rationalized form.

Let's proceed with rationalizing the given expression.