It is known that the third power of (x + 1) is 8 and the square root of root y is 2. Find the square root and cube root of X + y

It is known that the third power of (x + 1) is 8 and the square root of root y is 2. Find the square root and cube root of X + y

x+1=2
√y=4
∴x=1
y=16
x+y=17
The square root of X + y is ±√ 17
Cube root is 3 times root 17

Given that n is a positive integer and the 2n power of x = 7, find the value of the 2n power of (3x to the 3N power) - 4 (to the 2nd power of x)?

The 2nd power of (3x's 3N power) - 4 (the 2nd power of x) is 2n power = 9x's 6N power - 4x's 4N power = 9 (x's 2n power) - 4 (x's 2n power)'s 2nd power X's 2n power = 7 = 9 * 7? - 4 * 7? = 7? (9 * 7-4) = 49 * 59 = (50-1) (60-1) = 3000-60-50 + 1 = 2891

N tends to infinity, Lim radical 2n + radical 3N / 2n - 3N under radical, where 2n, 3N are the nth power of 2 and the nth power of 3

2n + 3N / 2n - 3N
=[radical (2 / 3) ^ n + 1] / [radical (2 / 3) ^ n-1]
N tends to infinity, and the root sign (2 / 3) ^ n tends to 0
lim...=1/(-1)=-1

How to divide (3N + 2) to the 2nd power of (2n-1)

（3n+2)²÷（2n-1)²
The original formula is (3N + 2) 2 × 1 / (2n-1) 2
＝（3n+2)²／﹙2n-1)²
＝9n²＋4＋12n／4n²＋1＋4n
It can't be simplified any more. It can only be counted as this step,

Let n be a positive integer and the 2n power of x = 4. Find the 2n power value of 9 (3N power of x) 2-13 (x2) RT I'll finish it in a minute

x^2n=4
9(x^3n)^2-13(x^2)^2n
=9*(x^2n)^3-13*(x^2n)^2
=9*4^3-13*4^2
=9*64-13*16
=368

It is known that M = a + B-2 radical sign a + 8 is the arithmetic square root of (a + 8), n = 2a-b + 4, root sign 3 is the cube root of (B-3)?

a+b-2=2,a+b=4
2a-b+4=3,2a-b=-1
a=1,b=3
M = radical, a + 8 = 3, n = 0
M + n = 3, square root ± √ 3

It is known that (a + 8) under the root sign of M = a + 1 is the arithmetic square root of a + 8, and (B-3) is the cube root of B-3 under the root sign of degree B = B, then the square root of M + n is

It is known that (a + 8) under the root sign of M = a + 1 is the arithmetic square root of a + 8, and (B-3) is the cube root of B-3 under the root sign of degree B = B,
∴a+1=2;
a=1;
M=√9=3;
b=3;
N=³√(3-3)=0;
Then the square root of √ is ± + 3;
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Calculation: | root 5-3 | + square of root (- 2) + (root 5-1) - root 36

|Root 5-3 | + square of root (- 2) + (root 5-1) - root 36
= 3-√5 + 2 + 1 - 6
= -√5

Calculation: (1) (root 2) square = (root 3 square) - (cubic root 3) cubic power (2) | 1-root 2 | + | root 2-root 3|

: (1) (root 2) square + (root 3 square) - (cubic root 3) cubic power
=2+3-3
=2
(2) |1-radical 2 | + | Gen 2-gen 3|
=(root 2-1) + (root 3-root 2)
=Root 2-1 + root 3-root 2
=Radical 3-1

Simplification of the third power of 8 * a under the square root sign of a

The square root of a is 1 / 3 of 8 * a
=1 / 3 of a 2 * 2 √ 2 * a
=2√2/a