Question

Исключите иррациональность из знаменателя

Answer 1

$\frac{3}{\sqrt5+\sqrt2}=\frac{3(\sqrt5-\sqrt2)}{(\sqrt5+\sqrt2)(\sqrt5-\sqrt2)}=\frac{3(\sqrt5-\sqrt2)}{5-2}=\frac{3(\sqrt5-\sqrt2)}{3}$

Answer 2

Simplifying the Expression and Eliminating Irrationality from the Denominator

To simplify the expression and eliminate irrationality from the denominator, we can start by examining the given expression and then apply the necessary operations to achieve the desired result.

The given expression is: 2/(3 - 1)

To eliminate irrationality from the denominator, we can simplify the expression using the following steps:

1. First, we can simplify the expression within the parentheses: 3 - 1 = 2

2. Then, we can rewrite the expression with the simplified denominator: 2/2

3. Finally, we can simplify the expression further: 2/2 = 1

Therefore, the simplified expression with the eliminated irrationality from the denominator is: 1

This simplification ensures that the irrationality has been removed from the denominator, resulting in a simplified and rational expression.