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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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What is a principal square root?
The principal square root is the non-negative square root.
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.
Can the square root of x be added to the square root of 3x?
No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.
Multiply square root 3 by square root 2?
square root 6
How do you break down the square root of 12?
The square root of 12 equals the square root of 4 times 3. The square root of 4 is 2. The square root of 12 equals 2 times the square root of 3.
