If the square root of (2 x) is the same as the square root of (2 x)=

If the square root of (2 x) is the same as the square root of (2 x)=

From the meaning of the title, 2x = x? 2 + 1 x? - 2x + 1 = 0 x = 1

Is the root x 2 + 1 the simplest quadratic radical?

Yes, it is

(root a + 1 / 2 of root a) - (root A-1 / 2 of root a) (root a + root a 1 / 2) 2 - (root a - root a 1 / 2) 2 sorry, forget to call, big brothers and sisters, help

(root a + 1 / 2 of root a) - (root a - 1 / 2 of root a)
=(root a + 1% of root a + 1% of root a - 1% of root a) (root a + 1% of root a - root a + 1% of root a)
=(2 root sign a) (1 / 2 root sign a)
=4

How to solve the problem by formula method when x 2 - (root 3 + root 2) x + root 6 = 0

B? - 4ac = (root number 3 + root number 2) 2 - 4 root number 6 = 5 + 2 root number 6-4 root number 6 = 5-2 root number 6 = (root number 3-root number 2) 2
therefore
X1 = [(radical 3 + Radix 2) + (Radix 3-radix 2)] / 2
=2 root sign 3 / 2
=Radical 3
X2 = [(root 3 + root 2) - (radical 3-radical 2)] / 2
=2 root sign 2 / 2
=Radical 2

Let x = (2 + 1) / (2 - 1) and y = (3 + 1) / (3 - 1) find x? - y

It is the rational reason of the denominator. X = (2 + 2 + 1) / (2-1) = (2 + 2 + 1) / (2-1) = 3 + 2 √ 2Y = (3 + 3 + 1) / (3-1) = (3 + 3 + 1) / (3-1) = (4 + 2 √ 3) / 2 = 2 = 2 + 3 + 3 + y = 3 + 2 + 2 + 2 + 3 + 3 = 9 + 12 + 8 + 4 + 3 + 3 + 3 + 3 = 24 + 12 + 2 + 4 + 4 + 3 + 3 = 24 + 12 + 2 + 4 + 4 + 3 + 3 + 3 = 24 + 12 + 2 + 4 + 4 + 4 + 3 + 3 + 3 + 3 + 3 + 3 + 4 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3

When x (), the root of the formula x + 1 is meaningful; when x (), the root sign X-2 of 2X-4% of the root of the formula is meaningful

If x + 1 ≥ 0, X ≥ - 1 is obtained
(X-2) / √ (2X-4) is meaningful, that is, X-2 ≥ 0, 2X-4 > 0, x > 2

When x satisfies any condition, 2x-1 of 4-x under the root of the formula is meaningful

When x is less than 4 and not equal to 1 / 2

When x is the value, the root sign (2x-3) - the third root sign (x + 1) + the fourth root sign (4-2x) is meaningful

Hello, landlord
The result is: 3 / 2

(1) Cubic radical 2x + 1 = cubic radical 5x + 7 (2) cubic radical 2x-1 = - cubic radical 5x + 8

Cubic root 2x + 1 = cubic root 5x + 7
2x+1=5x+7
5x-2x=1-7
3x=-6
x=-2
Cubic radical 2x-1 = - cubic radical 5x + 8
2x-1=-5x-8
5x+2x=1-8
7x=-7
x=-1

3 Radix 2x-1 = - 3 Radix 5x + 8, find the cube root of X

3 roots 2x-1 = - 3 roots 5x + 8 = 3 roots (- 5x-8)
So 2x-1 = - 5x-8, x = - 1
So the cube root of X is - 1