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Expand abs simplify root 5 ( root 10 + root 2)

Sagot :

maniknandini

Answer:

5\sqrt{2} + \sqrt{10}

Step-by-step explanation:

I assume the exp as [tex]\sqrt{5} (\sqrt{10} + \sqrt{2} )[/tex]

[tex]\sqrt{50 } + \sqrt{10}[/tex]

[tex]\sqrt{25*2} +\sqrt{10}[/tex]

[tex]5\sqrt{2} + \sqrt{10}[/tex]

The simplified form of the given expression [tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )[/tex] will be  [tex]5\sqrt{2} + \sqrt{10}[/tex].

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The given expression is as follows;

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )\\\\\sqrt{5} \times \sqrt{10} +\sqrt{5} \times\sqrt{2} \\\\\sqrt{25 \times 2} +\sqrt{10}\\\\5\sqrt{2} +\sqrt{10}[/tex]

Hence, the simplified form of the given expression is [tex]5\sqrt{2} + \sqrt{10}[/tex].

Learn more about square;

https://brainly.com/question/14198272

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