Question

1/√(3)−√(5)−2×√(2) избавтесь от иррационала

Answer 1

Решение смотри на фото

Answer 2

Simplifying the Expression 1/√(3)−√(5)−2×√(2)

To simplify the given expression 1/√(3)−√(5)−2×√(2) and get rid of the irrational numbers, we can follow these steps:

1. Expressing Irrational Numbers in Rational Form: - We can express the irrational numbers in rational form by rationalizing the denominators of the square roots.

2. Rationalizing the Denominators: - For the expression 1/√(3), we can rationalize the denominator by multiplying the numerator and denominator by √(3) to get rid of the square root in the denominator. - Similarly, for the terms √(5) and 2×√(2), we can rationalize the denominators in the same way.

3. Performing the Calculations: - After rationalizing the denominators, we can perform the calculations to simplify the expression.

Let's proceed with rationalizing the denominators and simplifying the expression.

Rationalizing the Denominators

Rationalizing the denominators of the given expression: 1/√(3)−√(5)−2×√(2)

Rationalizing 1/√(3): 1/√(3) = (1/√(3)) * (√(3)/√(3)) = √(3)/3

Rationalizing √(5): √(5) = (√(5)) * (1) = √(5)

Rationalizing 2×√(2): 2×√(2) = (2×√(2)) * (1) = 2√(2)

Simplified Expression

After rationalizing the denominators, the expression 1/√(3)−√(5)−2×√(2) becomes: √(3)/3 - √(5) - 2√(2)

So, the simplified form of the given expression is: √(3)/3 - √(5) - 2√(2)