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2 years ago

Are irrational number? justify the reaason !!!! 5√32

Mathematics

1 answer:

sleet_krkn [62]2 years ago

3 0

Answer:

The given number is irrational.

Step-by-step explanation:

It is known that $\sqrt{2}$ is irrational.

Given number can be converted as:

$5\sqrt{32} =$
$5\sqrt{16*2} =$
$5\sqrt{16}*\sqrt{2} =$
$5*4*\sqrt{2} =$
$20\sqrt{2}$

Since $\sqrt{2}$ is irrational, $20\sqrt{2}$ is also irrational (<em>the product of an irrational number and a rational number is irrational</em>), so the given number is irrational.

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