ethanfay2393 ethanfay2393
  • 22-08-2022
  • Mathematics
contestada

What irrational number
could ADD to make the
answer rational?
√5 +____ = ______

Respuesta :

Sprnt
Sprnt Sprnt
  • 22-08-2022

Answer:

[tex]\sqrt{5} +1-\sqrt{5} =1[/tex].

Step-by-step explanation:

First, let's define an irratinal number. Irrational numbers are all numbers that can't be expressed as the fraction of 2 integers.

1. Form an equation.

Let's make the result be 1, for this, we form the following equation:

[tex]\sqrt{5} +x=1[/tex]

2. Solve equation.

[tex]x=1-\sqrt{5}[/tex]

3. Test the value on the initial expression.

[tex]\sqrt{5} +(1-\sqrt{5} )=\\ \\\sqrt{5} +1-\sqrt{5} =\\ \\1[/tex]

4. Write the full expression.

[tex]\sqrt{5} +1-\sqrt{5} =1[/tex].

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