Square Root of 1444
The square root of 1444 is expressed as √1444 in the radical form and as (1444)½ or (1444)0.5 in the exponent form. The square root of 1444 is 38. It is the positive solution of the equation x2 = 1444. The number 1444 is a perfect square.
- Square Root of 1444: 38
- Square Root of 1444 in exponential form: (1444)½ or (1444)0.5
- Square Root of 1444 in radical form: √1444
1. | What is the Square Root of 1444? |
2. | How to find the Square Root of 1444? |
3. | Is the Square Root of 1444 Rational? |
4. | FAQs |
What is the Square Root of 1444?
The square root of 1444, (or root 1444), is the number which when multiplied by itself gives the product as 1444. Therefore, the square root of 1444 = √1444 = 38.
☛ Check: Square Root Calculator
How to Find Square Root of 1444?
Value of √1444 by Long Division Method
Explanation:
- Forming pairs: 14 and 44
- Find a number Y (3) such that whose square is <= 14. Now divide 14 by 3 with quotient as 3.
- Bring down the next pair 44, to the right of the remainder 5. The new dividend is now 544.
- Add the last digit of the quotient (3) to the divisor (3) i.e. 3 + 3 = 6. To the right of 6, find a digit Z (which is 8) such that 6Z × Z <= 544. After finding Z, together 6 and Z (8) form a new divisor 68 for the new dividend 544.
- Divide 544 by 68 with the quotient as 8, giving the remainder = 544 - 68 × 8 = 544 - 544 = 0.
- We stop the process since the remainder is now 0 and there are no more digits that can be brought down.
Therefore, the square root of 1444 by long division method is 38.
Is Square Root of 1444 Rational?
The value of √1444 is 38. Hence, the square root of 1444 is a rational number.
☛ Also Check:
- Square Root of 98 - √98 = 9.89949
- Square Root of 56 - √56 = 7.48331
- Square Root of 72 - √72 = 8.48528
- Square Root of 41 - √41 = 6.40312
- Square Root of 40 - √40 = 6.32456
- Square Root of 320 - √320 = 17.88854
- Square Root of 85 - √85 = 9.21954
Square Root of 1444 Solved Examples
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Example 1: Solve the equation x2 − 1444 = 0
Solution:
x2 - 1444 = 0 i.e. x2 = 1444
x = ±√1444
Since the value of the square root of 1444 is 38,
⇒ x = +√1444 or -√1444 = 38 or -38. -
Example 2: If the surface area of a sphere is 5776π in2. Find the radius of the sphere.
Solution:
Let 'r' be the radius of the sphere.
⇒ Area of the sphere = 4πr2 = 5776π in2
⇒ r = ±√1444 in
Since radius can't be negative,
⇒ r = √1444
The square root of 1444 is 38.
⇒ r = 38 in -
Example 3: If the area of a square is 1444 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 = 1444 in2
⇒ a = ±√1444 in
Since length can't be negative,
⇒ a = √1444 = 38 in
FAQs on the Square Root of 1444
What is the Value of the Square Root of 1444?
The square root of 1444 is 38.
Why is the Square Root of 1444 a Rational Number?
Upon prime factorizing 1444 i.e. 22 × 192, we find that all the prime factors are in even power. This implies that the square root of 1444 is a positive integer. Therefore, the square root of 1444 is rational.
What is the Square Root of -1444?
The square root of -1444 is an imaginary number. It can be written as √-1444 = √-1 × √1444 = i √1444 = 38i
where i = √-1 and it is called the imaginary unit.
Is the number 1444 a Perfect Square?
The prime factorization of 1444 = 22 × 192. Here, all the numbers are in the power of 2. This implies that the square root of 1444 is a positive integer. Therefore, 1444 is a perfect square.
Evaluate 4 plus 10 square root 1444
The given expression is 4 + 10 √1444. We know that the square root of 1444 is 38. Therefore, 4 + 10 √1444 = 4 + 10 × 38 = 4 + 380 = 384
What is the Square of the Square Root of 1444?
The square of the square root of 1444 is the number 1444 itself i.e. (√1444)2 = (1444)2/2 = 1444.
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