What is the significance of sqrt{2gh} - Physics Forums
2010年4月22日 · The term sqrt{2gh} represents the energy an object possesses due to its height above the ground, which is known as potential energy. As the object falls and its height decreases, potential energy is converted into kinetic energy, which is given by the term mv^2/2, where m is the mass of the object and v is its velocity.
How do you solve sqrt(50)+sqrt(2) ? + Example - Socratic
2015年9月9日 · You can simplify sqrt(50)+sqrt(2) = 6sqrt(2) If a, b >= 0 then sqrt(ab) = sqrt(a)sqrt(b) and sqrt(a^2) = a So: sqrt(50)+sqrt(2) = sqrt(5^2*2)+sqrt(2) = sqrt(5^2)sqrt(2) + sqrt(2) = 5sqrt(2)+1sqrt(2) = (5+1)sqrt(2) = 6sqrt(2) In general you can try to simplify sqrt(n) by factorising n to identify square factors. Then you can move the square roots of those square …
Graphs of Square Root Functions - Algebra - Socratic
Now, let's explore how to translate a square root function vertically. y = #sqrt(x) + 3# or y = #sqrt(x) - 4#. The addition or subtraction on the OUTSIDE of the square root function will cause the graph to translate up or down. Adding 3 will raise the graph up, and subtracting 4 will lower the graph by 4 units. (see graph)
What is the square root of 2i? - Socratic
2014年9月28日 · sqrt{2i}={1+i, -1-i} Let us look at some details. Let z=sqrt{2i}. (Note that z are complex numbers.) by squaring, Rightarrow z^2=2i by using the exponential form z=re^{i theta}, Rightarrow r^2e^{i(2theta)}=2i=2e^{i(pi/2+2npi)} Rightarrow {(r^2=2 Rightarrow r=sqrt{2}), (2theta=pi/2+2npi Rightarrow theta=pi/4+npi):} So, z=sqrt{2}e^{i(pi/4+npi)} by Eular's Formula: …
Reason for dividing peak value by sq. root 2 to get RMS - Physics …
2009年2月19日 · The square root of 2 (or approximately 1.414) is derived from the relationship between the peak value and the RMS value of a sine wave. When an alternating current or voltage is represented as a sine wave, the peak value refers to the maximum value of the wave, while the RMS value refers to the effective or average value of the wave.
What is the square root of -2? - Socratic
2015年5月28日 · The answer your teacher will give depends on where you are in you mathematics education. There is no positive or negative number that is the square root of -2 If we square a positive number we get a positive answer. If we square a negative number, we still get a positive number. There is no positive or negative number (real number) whose square is …
What is the square root of 2? + Example - Socratic
sqrt(2) ~~ 99/70 is an irrational number. The square root of 2 is a number which when multiplied by itself gives 2. Note that any positive number actually has two square roots - a positive and a negative one. That having been said, "the square root" is usually taken to mean the positive square root, also known as the principal square root. The square root of 2 is an irrational …
Proove that the cubic root of 2 + the square root of 2 is irrational
2008年11月10日 · How do you prove that the cubic root of 2 + the square root of 2 is irrational? To prove that the cubic root of 2 + the square root of 2 is irrational, you can use a proof by contradiction. Assume that the expression is rational, meaning it can be written as a fraction. Then, by squaring both sides and simplifying, you will reach a contradiction.
Why does sqrt(x^2)=absx and not simply x? + Example - Socratic
2017年3月9日 · See below: Let's take a quick example and see why sqrt(x^2)=absx and not simply x. Let's set x=3,-3 and put them into the sqrt(x^2) term: x=3=>sqrt(x^2)=>sqrt(3^2)=sqrt9=? x=-3=>sqrt(x^2)=>sqrt((-3)^2)=sqrt9=? What should be in the question mark spaces? In both these cases, we can end up with the original value of x, but we can also end up with the …
Is sqrt(2) a rational number? - Socratic
2017年10月15日 · See explanation. The number sqrt(2) is irrational. The proof can be as follows: Let's assume that sqrt(2) is rational. Then we have: sqrt(2)=p/q where p,q in ZZ If we raise this equation to the second power we get: 2=(p^2)/(q^2) 2q^2=p^2 But this equality is not possible for integer p and q. If we analyze the prime factorizarion of both sides we can see that number 2 …