By using prime factors 1936 is a perfect square
Answers
Answer:
Square Root of 1936
The square root of 1936 is expressed as √1936 in the radical form and as (1936)½ or (1936)0.5 in the exponent form. The square root of 1936 is 44. It is the positive solution of the equation x2 = 1936. The number 1936 is a perfect square.
Square Root of 1936: 44
Square Root of 1936 in exponential form: (1936)½ or (1936)0.5
Square Root of 1936 in radical form: √1936
Square Root of 1936
What is the Square Root of 1936?
The square root of 1936, (or root 1936), is the number which when multiplied by itself gives the product as 1936. Therefore, the square root of 1936 = √1936 = 44.
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How to Find Square Root of 1936?
Square Root of 1936 by Long Division Method
Value of √1936 by Long Division Method
Explanation:
Forming pairs: 19 and 36
Find a number Y (4) such that whose square is <= 19. Now divide 19 by 4 with quotient as 4.
Bring down the next pair 36, to the right of the remainder 3. The new dividend is now 336.
Add the last digit of the quotient (4) to the divisor (4) i.e. 4 + 4 = 8. To the right of 8, find a digit Z (which is 4) such that 8Z × Z <= 336. After finding Z, together 8 and Z (4) form a new divisor 84 for the new dividend 336.
Divide 336 by 84 with the quotient as 4, giving the remainder = 336 - 84 × 4 = 336 - 336 = 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 1936 by long division method is 44.
Is Square Root of 1936 Rational?
The value of √1936 is 44. Hence, the square root of 1936 is a rational number.
☛ Also Check:
Square Root of 784 - √784 = 28
Square Root of 250 - √250 = 15.81139
Square Root of 169 - √169 = 13
Square Root of 16 - √16 = 4
Square Root of 37 - √37 = 6.08276
Square Root of 100 - √100 = 10
Square Root of 324 - √324 = 18
Square Root of 1936 Solved Examples
Example 1: Solve the equation x2 − 1936 = 0
Solution:
x2 - 1936 = 0 i.e. x2 = 1936
x = ±√1936
Since the value of the square root of 1936 is 44,
⇒ x = +√1936 or -√1936 = 44 or -44.
Example 2: If the surface area of a cube is 11616 in2. Find the length of the side of the cube.
Solution:
Let 'a' be the length of the side of the cube.
⇒ Area of the cube = 6a2 = 11616 in2
⇒ a = ±√1936 in
Since length can't be negative,
⇒ a = √1936
We know that the square root of 1936 is 44.
⇒ a = 44 in
Example 3: If the area of a square is 1936 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 = 1936 in2
⇒ a = ±√1936 in
Since length can't be negative,
⇒ a = √1936 = 44 in
Answer:
yes 1936 is perfect square of 84
Step-by-step explanation:
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