What is the significance of sqrt{2gh} - Physics Forums
WEBApr 22, 2010 — 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. 3.
What is the square root of 2i? - Socratic
WEBSep 28, 2014 — 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 …
Graphs of Square Root Functions - Algebra - Socratic
WEBNow, 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 1/2? - Socratic
WEBJun 1, 2018 — Square root of #1/2 = sqrt(1/2)# We can use this rule for radicals to rewrite the expression: #sqrt(color ...
What is the square root of -2? - Socratic
WEBMay 28, 2015 — 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) …
How do you simplify 1 over square root 2? - Socratic
WEBMar 24, 2018 — sqrt2/2 1/sqrt 2 :.sqrt 2/sqrt 2=1 :.=1/sqrt 2 xx sqrt 2/sqrt 2 :.=sqrt2/2
Reason for dividing peak value by sq. root 2 to get RMS - Physics …
WEBFeb 19, 2009 — 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 …
Is sqrt(2) a rational number? - Socratic
WEBOct 15, 2017 — 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 …
How do you simplify #sqrt(x^2+y^2)#? - Socratic
WEBJan 25, 2018 — You can't, really. While it looks like you can just cancel out the squares with the square root, this only works if you have one square within the radical. Since we're adding two together, it's slightly different. There's no way to factor x^2+y^2 to get a perfect square. The only real way to simplify this expression is by using math that's at a higher …
How do you integrate #sqrt(1-x^2)#? - Socratic
WEBMar 29, 2018 — Let #x=sintheta#, #=>#, #dx=costhetad theta#. #costheta=sqrt(1-x^2)# #sin2theta=2sinthetacostheta=2xsqrt(1-x^2)# ...