Respuesta :

The image above gives a better analysis of the image in the question

To get x, we will make use of the Pythagoras theorem.

since x is the hypotenuse

[tex]x^2=4^2+2^2[/tex]

[tex]x^2\text{ = 16 + 4}[/tex]

[tex]x^2\text{ = }\sqrt[]{20}[/tex]

[tex]x\text{ = }\sqrt[]{4\text{ x 5}}[/tex]

[tex]x\text{ =}\sqrt[]{4}\text{ x}\sqrt[]{5}[/tex]

[tex]x\text{ = 2 x }\sqrt[]{5}[/tex]

[tex]x\text{ = 2}\sqrt[]{5}[/tex]

In the simplest radical form, x is equal to

[tex]2\sqrt[]{5}[/tex]

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