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The purpose of a square root is to enable some calculations, For example,

  • if you have a square with sides of 1 unit, then its diagonal has length sqrt(2) units,
  • the power output of a sound wave is related to the square root of its amplitude
  • the intensity of light (or magnetic force, gravity) is inversely proportional to the square of the distance from the source so you would have to change the distance by *sqrt(x) to reduce the intensity to 1/x (increase the distance to sqrt(3) times as much to reduce the intensity to 1/3.

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Q: What is the purpose of the square root?
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Related questions

Rationalize 5 over square root of 6?

The idea is to get rid of the square root in the denominator. For this purpose, you must multiply numerator and denominator by the square root of 6 in this case.


What is the square root of the square root of 2?

The square root of the square root of 2


What is the square root of square root's square root?

The 8th root


Some irrational numbers?

square root of (2 ) square root of (3 ) square root of (5 ) square root of (6 ) square root of (7 ) square root of (8 ) square root of (9 ) square root of (10 ) " e " " pi "


Irrational numbers between 2 and 2.5?

There are infinitely many of them. They include square root of (4.41) square root of (4.42) square root of (4.43) square root of (4.44) square root of (4.45) square root of (5.3) square root of (5.762) square root of (6) square root of (6.1) square root of (6.2)


What is the square root of a square that has no root?

It's not a square if it has no root. If a number is a square then, by definition, it MUST have a square root. If it did not it would not be a square.


Square root 2 times square root 3 times square root 8?

square root 2 times square root 3 times square root 8


What is a principal square root?

The principal square root is the non-negative square root.


What is the difference between principal square root and perfect square root?

A principal square root is any square root that's answer is positive, and a perfect square root is a square root that's answer is an integer.


What is the square root of 20 in simplest form?

square root of 20 = square root of 4 * square root of 5. square root of 4 = 2, so your answer is 2 square root of 5.


Simplify square root of 5 Times Square root of 6?

To simplify the square root of 5 times the square root of 6, you can multiply the two square roots together. This gives you the square root of (5*6), which simplifies to the square root of 30. Therefore, the simplified answer is the square root of 30.


What numbers are always irrational?

the square root of 3, the square root of 5, the square root of 6, the square root of 7, the square root of 8 etc