√x^10 = √(x^5)^2 = x^5
The square root of x to the 10th power is x to the 10th power raised to the 1/2 power, which simplifies to x to the 10/2 power. This further simplifies to x to the 5th power. Therefore, the square root of x to the 10th power is x to the 5th power.
X to the 3rd power
You divide the exponent by 2 The square root of a number is that number to the 1/2 power So for examle square root of x cubed (x^3) is x^3 to the half power =x^3/2 (x to the 3/2 power)
-2 and -3Check:(-2) + (-3) = -5(-2)(-3) = 6Thus -2 and -3 are not the required numbers. let's find them: x + y = -6xy = -5 y = -x -6x(-x - 6) = -5-x^2 - 6x = -5x^2 + 6x = 5x^2 + 6x + 9 = 5 + 9(x + 3)^2 = 14x + 3 = (+ & -)square root of 14x = -3 (+ & -)square root of 14x = -3 + square root of 14 or x = - 3 - square root of 14y = -x - 6y = 3 - square root of 14 - 6 or y = 3 + square root of 14 - 6y = -3 - square root of 14 or y = -3 + square root of 14Check:(-3 + square root of 14) + (-3 - square root of 14) = -6(-3 + square root of 14)(-3 - square root of 14) = -5 ?(-3)^2 - (square root of 14)^2 = -5 ?9 - 14 = -5Check also tow other numbers.
Use the formula for the derivative of a power. The square root of (x-5) is the same as (x-5)1/2.
√x^10 = √(x^5)^2 = x^5
It seems to be 25. Call your number "x". x = 5 square root of (5 square root of (5 ...) Square it; this will eliminate the outermost square root sign: x squared = 25 times 5 square root of (5 square root of (... Dividing the second equation by the first one, you get: x squared / x = 25 x / x x = 25
The square root of x squared is x, or x to the first power.
The square root of x = x to the power of a half
The square root of x to the seventeenth power is x to the eighth and a half power. If x is negative, the answer is imaginary.
5 ^x = 0 5 = root square 0 5=0
The square root of x to the 10th power is x to the 10th power raised to the 1/2 power, which simplifies to x to the 10/2 power. This further simplifies to x to the 5th power. Therefore, the square root of x to the 10th power is x to the 5th power.
'Squared' & 'Square Root; are the inverse mathemtical functions. 5 (squared) = 25 square root of '25' is 5 Mathematically this would be written as Square ; 5 x 5 = 5^(2) = 25 Square Root ; sqrt(25) = 25^(1/2) = 25^(0.5) = 5 NB THis can be exteneded to 'cubes' and 'cube roots' e.g. 3 x 3 x 3 = 3^(3) = 27 curt(27) = 27^(1/3) = 27^(0.3333.....) - 3 And fourth power and fourth root. e.g. Fourth power ; 2 x 2 x 2 x 2 = 2^(4) = 16 Fourth root = (4th)rt(16) = 16^(1/4) = 16^(0.25) = 2 It can be exteneded to the 'nth power' and the 'nth root'. Where 'n' is any number.
the square root of x8 is x4
5 - x^2 = (the square root of 5 minus x)(the square root of 5 plus x)
The square root (5 ft x 5 ft) = 5 ft.