Comparative size: 12 / 13 and (radical 7) - 1 / 2 12 / 13 and 2 / 13 [(root 7) - 1]

Comparative size: 12 / 13 and (radical 7) - 1 / 2 12 / 13 and 2 / 13 [(root 7) - 1]

12/13 > （√7-1）/2

Compare the following sizes: root 5-7 and 11-13

Let f (x) = x ^ 0.5 - (x + 2) ^ 0.5
Derivative of F (x): F '(x) = 0.5x ^ - 0.5-0.5 (x + 2) ^ - 0.5 = 0.5 (1 / x ^ 0.5-1 / (x + 2) ^ 0.5) > 0
All f (x) are monotone increasing functions in the definition domain, and the value of F (x = 5)) is less than f (x = 11)

The size of root 7-6 is compared with that of 6-5 Come on

√7-√6 √6-√5
If we square the two equations at the same time, we get
（√7-√6）²
=7-2√42+6
=1-2√42
（√6-√5）²
=6-2√30-5
=1-2√30
∵1-2√42＞1-2√30
√7-√6＞√6-√5
Note: √ is root sign

What is root 2 plus root 32?

√2+√32
=√2+4√2
=5√2
 

Calculate (1) two thirds of 2,6-3,24-2,3 (2) 3A root sign 3AB 2 - sixth B root sign 27a ^ 3 + 2Ab root sign three quarters a (a "0, B" 0) (3) (3 roots 5 + 2 roots 3) ^ 2 - (3 roots 5-2 roots 3) ^ 2

(1) Root number 6-3 root number 6-3 root number 2 / 3 - (root number 24-2 two thirds of root number) = 2 √ 6 √ 6-3 √ 6 / 9-3 √ 6 / 9-4 * 4 * 6 * 6 + 2 √ 6 / 6 / 4 = 2 √ 6-6 √ 6-2 (6 + 6 = 0 (2) 3A root No. 3AB root No. 3AB: B root No. 27a ^ 3 + 2Ab root No. 4: a = 3AB √ 3A B / AB / 6 * 3 * 3 √ 3A + 2Ab √ 3A + 2Ab √ 3A / 4 = (3AB AB / 2 + 2 + AB) √ 3A (3a A / 4 = (3AB / 2 + 2 + AB) √ 3A (3a) 3a) 3A (a) = 7a / 2 *

(3 √ 6-2 √ 1 / 6) - (√ 24-2 √ 2 / 3) calculation (3 root number 6-2 and root sign one sixth) - (root number 24-2 and root sign two-thirds) (3 roots, 6-2, 1 / 6) - (24-2, 2 / 3)

(3√6-2√1/6)-(√24-2√2/3)
=3√6-1/3√6-2√6+2/3√6
=（3-1/3-2+2/3）√6
=4/3√6

Evaluation: 1 / 16-1 / 25 - (1 / 16-1 / 25)

√（1/16）-1/25-（1/4-1/5）
=1/4-1/25-1/20
=25/100-4/100-5/100
=16/100
=4/25

Reduction evaluation: X One X+ 4y− X 2+ Y3 y. Where x = 4, y = 1 9．

Original formula=
X+2
Y-
X
2+
Y
=
X
2+3
y，
When x = 4, y = 1
9:00, the original formula=
Four
2+3×
One
9=1+1=2．

Root number 9 / 16 - root number 144 + root number 81 =?

Root 9 / 16 = 0.75
Radical 144 = 12
Radical 81 = 9
Results = 0.75-12 + 9 = - 2.25

4 / 9 + 1 / 9 + 1 / 16 - 9 / 9 = what

The root is 4 / 9 + 1 / 9 + 1 / 16 - 9 / 16 - 9 / 16
=2 / 3 + 1 / 3 + 5-3 / 4
=Three in two