Math Problem Statement

Bilangan 2/√5 dirasionalkan penyebutnya menjadi…

Solution

The question is asking to rationalize the denominator of the expression 25\frac{2}{\sqrt{5}}.

To rationalize the denominator, we need to eliminate the square root in the denominator. This can be done by multiplying both the numerator and denominator by 5\sqrt{5}:

25×55=255\frac{2}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{2\sqrt{5}}{5}

So, the rationalized form of 25\frac{2}{\sqrt{5}} is 255\frac{2\sqrt{5}}{5}.

Would you like more details or have any questions?

Here are 5 related questions for practice:

  1. How do you rationalize 37\frac{3}{\sqrt{7}}?
  2. What is the rationalized form of 52\frac{5}{\sqrt{2}}?
  3. Simplify and rationalize the expression 46\frac{4}{\sqrt{6}}.
  4. How would you rationalize 110\frac{1}{\sqrt{10}}?
  5. What is the result of rationalizing 73\frac{7}{\sqrt{3}}?

Tip: When rationalizing denominators, always multiply by the conjugate or the square root term needed to clear the irrationality in the denominator.

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Math Problem Analysis

Mathematical Concepts

Algebra
Rationalization of Denominators

Formulas

Multiplication of fractions
Rationalization: \(\frac{a}{\sqrt{b}} \times \frac{\sqrt{b}}{\sqrt{b}} = \frac{a\sqrt{b}}{b}\)

Theorems

Rationalization of denominators

Suitable Grade Level

Grades 7-9