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Square Root of 436

The square root of 436 is expressed as √436 in the radical form and as (436)^½ or (436)^0.5 in the exponent form. The square root of 436 rounded up to 10 decimal places is 20.8806130178. It is the positive solution of the equation x² = 436. We can express the square root of 436 in its lowest radical form as 2 √109.

Square Root of 436: 20.8806130178211
Square Root of 436 in exponential form: (436)^½ or (436)^0.5
Square Root of 436 in radical form: √436 or 2 √109

Square Root of 436

1.	What is the Square Root of 436?
2.	How to find the Square Root of 436?
3.	Is the Square Root of 436 Irrational?
4.	FAQs

What is the Square Root of 436?

The square root of 436, (or root 436), is the number which when multiplied by itself gives the product as 436. Therefore, the square root of 436 = √436 = 2 √109 = 20.8806130178211.

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How to Find Square Root of 436?

Square Root of 436 by Long Division Method

Value of √436 by Long Division Method

Explanation:

Forming pairs: 04 and 36
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 36, to the right of the remainder 0. The new dividend is now 36.
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 0) such that 4Z × Z <= 36. After finding Z, together 4 and Z (0) form a new divisor 40 for the new dividend 36.
Divide 36 by 40 with the quotient as 0, giving the remainder = 36 - 40 × 0 = 36 - 0 = 36.
Now, let's find the decimal places after the quotient 20.
Bring down 00 to the right of this remainder 36. The new dividend is now 3600.
Add the last digit of quotient to divisor i.e. 0 + 40 = 40. To the right of 40, find a digit Z (which is 8) such that 40Z × Z <= 3600. Together they form a new divisor (408) for the new dividend (3600).
Divide 3600 by 408 with the quotient as 8, giving the remainder = 3600 - 408 × 8 = 3600 - 3264 = 336.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 436.

Therefore, the square root of 436 by long division method is 20.8 approx.

Is Square Root of 436 Irrational?

The actual value of √436 is undetermined. The value of √436 up to 25 decimal places is 20.88061301782110035951551. Hence, the square root of 436 is an irrational number.

☛ Also Check:

Square Root of 75 - √75 = 8.66025
Square Root of 33 - √33 = 5.74456
Square Root of 69 - √69 = 8.30662
Square Root of 120 - √120 = 10.95445
Square Root of 22 - √22 = 4.69042
Square Root of 289 - √289 = 17
Square Root of 136 - √136 = 11.66190

Square Root of 436 Solved Examples

Example 1: Solve the equation x² − 436 = 0

Solution:

x² - 436 = 0 i.e. x² = 436
x = ±√436
Since the value of the square root of 436 is 20.881,
⇒ x = +√436 or -√436 = 20.881 or -20.881.
Example 2: If the area of a circle is 436π in². Find the radius of the circle.

Solution:

Let 'r' be the radius of the circle.
⇒ Area of the circle = πr² = 436π in²
⇒ r = ±√436 in
Since radius can't be negative,
⇒ r = √436
The square root of 436 is 20.881.
⇒ r = 20.881 in
Example 3: If the area of a square is 436 in². Find the length of the side of the square.

Solution:

Let 'a' be the length of the side of the square.
⇒ Area of the square = a² = 436 in²
⇒ a = ±√436 in
Since length can't be negative,
⇒ a = √436 = 20.881 in

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FAQs on the Square Root of 436

What is the Value of the Square Root of 436?

The square root of 436 is 20.88061.

Why is the Square Root of 436 an Irrational Number?

Upon prime factorizing 436 i.e. 2² × 109¹, 109 is in odd power. Therefore, the square root of 436 is irrational.

Is the number 436 a Perfect Square?

The prime factorization of 436 = 2² × 109¹. Here, the prime factor 109 is not in the pair. Therefore, 436 is not a perfect square.

What is the Square Root of 436 in Simplest Radical Form?

We need to express 436 as the product of its prime factors i.e. 436 = 2 × 2 × 109. Therefore, √436 = √2 × 2 × 109 = 2 √109. Thus, the square root of 436 in the lowest radical form is 2 √109.

Evaluate 13 plus 2 square root 436

The given expression is 13 + 2 √436. We know that the square root of 436 is 20.881. Therefore, 13 + 2 √436 = 13 + 2 × 20.881 = 13 + 41.761 = 54.761

What is the Square of the Square Root of 436?

The square of the square root of 436 is the number 436 itself i.e. (√436)² = (436)^2/2 = 436.

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