A day full of math games & activities. Find one near you.

Square Root of 444

The square root of 444 is expressed as √444 in the radical form and as (444)^½ or (444)^0.5 in the exponent form. The square root of 444 rounded up to 8 decimal places is 21.07130751. It is the positive solution of the equation x² = 444. We can express the square root of 444 in its lowest radical form as 2 √111.

Square Root of 444: 21.071307505705477
Square Root of 444 in exponential form: (444)^½ or (444)^0.5
Square Root of 444 in radical form: √444 or 2 √111

Square Root of 444

1.	What is the Square Root of 444?
2.	How to find the Square Root of 444?
3.	Is the Square Root of 444 Irrational?
4.	FAQs

What is the Square Root of 444?

The square root of 444, (or root 444), is the number which when multiplied by itself gives the product as 444. Therefore, the square root of 444 = √444 = 2 √111 = 21.071307505705477.

☛ Check: Square Root Calculator

How to Find Square Root of 444?

Square Root of 444 by Long Division Method

Value of √444 by Long Division Method

Explanation:

Forming pairs: 04 and 44
Find a number Y (2) such that whose square is <= 4. Now divide 04 by 2 with quotient as 2.
Bring down the next pair 44, to the right of the remainder 0. The new dividend is now 44.
Add the last digit of the quotient (2) to the divisor (2) i.e. 2 + 2 = 4. To the right of 4, find a digit Z (which is 1) such that 4Z × Z <= 44. After finding Z, together 4 and Z (1) form a new divisor 41 for the new dividend 44.
Divide 44 by 41 with the quotient as 1, giving the remainder = 44 - 41 × 1 = 44 - 41 = 3.
Now, let's find the decimal places after the quotient 21.
Bring down 00 to the right of this remainder 3. The new dividend is now 300.
Add the last digit of quotient to divisor i.e. 1 + 41 = 42. To the right of 42, find a digit Z (which is 0) such that 42Z × Z <= 300. Together they form a new divisor (420) for the new dividend (300).
Divide 300 by 420 with the quotient as 0, giving the remainder = 300 - 420 × 0 = 300 - 0 = 300.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 444.

Therefore, the square root of 444 by long division method is 21.0 approximately.

Is Square Root of 444 Irrational?

The actual value of √444 is undetermined. The value of √444 up to 25 decimal places is 21.07130750570547769680281. Hence, the square root of 444 is an irrational number.

☛ Also Check:

Square Root of 56 - √56 = 7.48331
Square Root of 34 - √34 = 5.83095
Square Root of 80 - √80 = 8.94427
Square Root of 51 - √51 = 7.14143
Square Root of 54 - √54 = 7.34847
Square Root of 28 - √28 = 5.29150
Square Root of 8 - √8 = 2.82843

Square Root of 444 Solved Examples

Example 1: Solve the equation x² − 444 = 0

Solution:

x² - 444 = 0 i.e. x² = 444
x = ±√444
Since the value of the square root of 444 is 21.071,
⇒ x = +√444 or -√444 = 21.071 or -21.071.
Example 2: If the area of a circle is 444π in². Find the radius of the circle.

Solution:

Let 'r' be the radius of the circle.
⇒ Area of the circle = πr² = 444π in²
⇒ r = ±√444 in
Since radius can't be negative,
⇒ r = √444
The square root of 444 is 21.071.
⇒ r = 21.071 in
Example 3: If the area of an equilateral triangle is 444√3 in². Find the length of one of the sides of the triangle.

Solution:

Let 'a' be the length of one of the sides of the equilateral triangle.
⇒ Area of the equilateral triangle = (√3/4)a² = 444√3 in²
⇒ a = ±√1776 in
Since length can't be negative,
⇒ a = √1776 = 2 √444
We know that the square root of 444 is 21.071.
⇒ a = 42.143 in

go to slide go to slide go to slide

Ready to see the world through math’s eyes?

Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

Book a Free Trial Class

FAQs on the Square Root of 444

What is the Value of the Square Root of 444?

The square root of 444 is 21.0713.

Why is the Square Root of 444 an Irrational Number?

Upon prime factorizing 444 i.e. 2² × 3¹ × 37¹, 3 is in odd power. Therefore, the square root of 444 is irrational.

What is the Square of the Square Root of 444?

The square of the square root of 444 is the number 444 itself i.e. (√444)² = (444)^2/2 = 444.

Evaluate 10 plus 14 square root 444

The given expression is 10 + 14 √444. We know that the square root of 444 is 21.071. Therefore, 10 + 14 √444 = 10 + 14 × 21.071 = 10 + 294.998 = 304.998

If the Square Root of 444 is 21.071. Find the Value of the Square Root of 4.44.

Let us represent √4.44 in p/q form i.e. √(444/100) = 4.44/10 = 2.107. Hence, the value of √4.44 = 2.107

Is the number 444 a Perfect Square?

The prime factorization of 444 = 2² × 3¹ × 37¹. Here, the prime factor 3 is not in the pair. Therefore, 444 is not a perfect square.

Math worksheets and
visual curriculum