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lioric
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How is it equal to v in the end?
I'm sorry for asking such questions. But I'm just trying to understand
Dear god I must be blindDrClaude said:Can you simplify the denominator?
Look to the left of the square root sign...lioric said:Which leaves a rooted u^2 / c^2
How does that simplify?
I can see the c root What does it mean?DrClaude said:Look to the left of the square root sign...
No, it's c times the root.lioric said:I can see the c root What does it mean?
So are you saying that the large root will cancel the squares of u^2 / c^2 making it like u / c * c/1DrClaude said:No, it's c times the root.
Yes. Note that the author there takes only the positive root, while in the OP the two roots are kept.lioric said:So are you saying that the large root will cancel the squares of u^2 / c^2 making it like u / c * c/1
and c and c cancels?
Thank you very muchDrClaude said:Yes. Note that the author there takes only the positive root, while in the OP the two roots are kept.
This is actually incorrect. On the right side it should be |v|, not ##\pm v##. In other words, the square root evaluates to a single nonnegative number, not two numbers.lioric said:View attachment 96291
How is it equal to v in the end?
I'm sorry for asking such questions. But I'm just trying to understand
A square root is a mathematical operation that finds the number which, when multiplied by itself, gives a certain number. It is important because it allows us to find the length of a side in a right triangle, to solve equations, and to simplify radical expressions.
To simplify a square root, you can factor the number inside the radical and remove any perfect square factors. Then, write the remaining factors as the square root of a whole number. For example, the square root of 18 can be simplified to the square root of 9 times the square root of 2, which becomes 3√2.
No, not all square roots can be simplified. Some square roots, like √5 or √7, are irrational numbers and cannot be simplified to a whole number. They can only be written in decimal form or as an infinite series.
Simplifying a square root involves simplifying the number inside the radical, while rationalizing a square root involves removing any radicals from the denominator of a fraction. Rationalizing is usually done to make expressions easier to work with or to eliminate imaginary numbers.
Simplifying square roots has many real-world applications, such as calculating the height of a tree or building, finding the length of a diagonal in a rectangle, or determining the amount of wire needed to fence a circular garden. It is also used in fields such as engineering, physics, and finance.