Question

identify rational or irrational number 1)root 45

Answer 1

Hey,

Your answer is here,

$\sqrt{45} = 3 \sqrt{5}$

Hence it is a irrational no.

Hope it helps you ☺️

Answer 2

$3\sqrt{5}$ is an irrational number.

Step-by-step explanation:

The numbers that can be expressed in the form of p/q are called rational numbers. While that numbers that cannot be expressed in the form of p/q are called irrational numbers.

The given number is $\sqrt{45}$

Prime factors of 45 are : 3×3×5

So,

$\sqrt{45} =\sqrt{3\times 3\times 5} \\\\=\sqrt{3\times 3\times 5}\\\\=3\sqrt{5}$

So, the value of $\sqrt{45}$ is $3\sqrt{5}$. We know that $3\sqrt{5}$ is an irrational number.

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