The square root of 153 in simplified radical form is equal to 3√17. Note that root 153 is written as √153, so the value of √153 = 3√17. Here we will learn how to find the square root of 153 in its simplest form.

The square root of 153 simplified is given as follows:

√153 = 3√17.

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**Square root of 153 in Simplest Radical Form**

**Answer:** 3√17 is the simplest radical form of square root 153.

**Solution:**

To find the square root of 153 in its simplest radical form, at first we will write 153 as a product of two numbers; at least one of them will be a perfect square (1, 4, 9, 16, 25, etc are a few examples of perfect squares).

Note that 9 is a perfect square and it divides 117. We can write 153 as follows:

153 = 9 × 17.

Taking square root on both sides, we get that

$\sqrt{153}=\sqrt{9 \times 17}$

⇒ $\sqrt{153}$ $=\sqrt{9} \times \sqrt{17}$ using the square root formula √(a×b) = √a × √b.

⇒ $\sqrt{153}$ = 3 × √17 as the square root of 9 is 3.

⇒ $\sqrt{153}$ = 3√17

Therefore, the square root of 153 in simplified radical form is 3√17.

**Is 153 a perfect square number?**

No, 153 is not a perfect square number. This is because, we know √153 = 3√17 and √17 is not an integer.

As √17 is an irrational number and √153 = 3√17, so square root of 153 is not a rational number.

**Read These Simplified Square Roots**

## FAQs on Square Root of 153

**Q1: What is the square root of 153 in radical form?**

**Answer**: Note that 153 = 3 × 3 × 17. So the square root of 153 is equal to √(3 × 3 × 17) = 3√17. So 3√17 is the radical form of square root of 153.