MathsValue of Root 3 – Square Root of 3 Using Different Methods

Value of Root 3 – Square Root of 3 Using Different Methods

Square Root

Value of Root 3 – Square Root of 3 Using Different Methods:

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    • A square root is a mathematical operation that extracts the square root of a number. The square root of a number is the number that, when multiplied by itself, results in the original number. For example, the square root of 9 is 3, because 3 multiplied by 3 equals 9.
    • There are two square roots of every positive number: one that is positive and one that is negative. For example, the square root of 4 is 2, because 2 multiplied by 2 equals 4, but the square root of -4 is also 2, because 2 multiplied by -2 equals -4.

     

    About Square Root 3

    The square root of 3 is 1.7320508

    It is the positive real number that is the root of the equation x3 = 3. A square root of 3 is a real number that when multiplied by itself will result in 3. There is no exact square root of 3, because 3 is irrational. However, there are an infinite number of decimal places that go on forever after the 3. Some examples include:

    • 1.732050808
    • 1.732050812
    • 1.7320508131
    • 1.73205081319
    • 1.732050813198

    . . .

    Square root of 3 is also the length of the hypotenuse of a right triangle with the other two sides being 1 and 1/2.

    Properties of Square Root of a Number

    The square root of a number is a number that is the result of taking the square root of that number. The square root of a number is also the length of the hypotenuse of a right triangle with the other two sides being the number and 1.

    How to find Square Root of 3 using Average Method?

    The square root of 3 can be found by taking the average of the two numbers that are closest to 3. The two numbers are 2 and 3, so the square root of 3 is 2.6.

    How to find Square Root of 3 by Number Line Method?

    Square root of 3 can be found by number line method by drawing a number line and marking off the points 1, 2, and 3. Then, the square root of 3 is the length of the line segment from 1 to 2.

    The Root of 3 using Long Division

    The root of 3 is 1.7320508.

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