If x < 0, it will be very fast to simplify the square of root X - the third power of root X!

If x < 0, it will be very fast to simplify the square of root X - the third power of root X!

√x²-³√x³
=-x-x
=-2x

Given that x is less than 1, simplify the root sign (square of X - 2x + 1) + cubic root sign (the third power of x)

√(x² - 2x + 1) + ³√x³
= √(x - 1)² + ³√x³
= | x - 1 | + x
= 1 - x + x
= 1

Simplify the square of the third power B of radical 27a

√(27a³b²)＝3√(3a)•a|b|
If the sign of B is uncertain, it should be marked with absolute value

The cubic reduction of square B of root 96a

Original formula = √ (4 * 4 * 6 * a * a * b * b * b)
=4*a*b*√6*b
=4ab*√6b

Simplify B-A fraction a × the cubic power of b-2ab + B of a (b < a < 0)

B-A

Under the radical sign (the square of a - the square of B) (the fourth power of a - the fourth power of B) (B

Under the radical sign [(the square of a - the square of B) (the fourth power of a - the fourth power of B)]
=Under the root sign [(the square of a - the square of B) ^ 2 * (the square of a + the square of B)]
=(square of B - square of a) * under root sign (square of a + square of B)

The square of a times the fourth power of B under the root sign plus the fourth power of a times the square of B (a ≥ 0, B ≥ 0) Reduction and calculation into the simplest quadratic root

√(a²b4+a4b²)
=√a²b²(b²+a²)
=Ab √ (a 2 + B 2) (because a ≥ 0, B ≥ 0, a, B can be directly lifted out)
The simplest

The product of the third power of a fraction B under the root sign and the square of a of the sixth power of B under the root sign emergency

= Sqrt(b^3/a)*Sqrt(a^2/b^6)
= Sqrt((b^3*a^2)/(a*b^6))
= Sqrt(a/b^3)
=Sqrt (A / b ^ 3) or = sqrt (A / b) / b
That is, the third power of B under the root sign is a, or the third power of B under the root sign is a

The 2011 power of (root 3 + 2) is multiplied by the 2012 power of (root 3-2)

The 2011 power of (root 3 + 2) is multiplied by the 2012 power of (root 3-2)
=The 2011 power of (root 3 + 2) times the 2011 power of (root 3-2) x (√ 3 - √ 2)
=The 2011 power of {(√ 3 + √ 2) (√ 3 - √ 2)} is x (√ 3 - √ 2)
=(2-3 times of 2011)
=1x（√3-√2）
=√3-√2

If the square of the root sign x is - 1 + the root sign Y + 1 = 0, find the value of X to the power of 2011 + the power of y to the power of 2012

X is 1, y is - 1, and the answer is 2