Radical addition, subtraction, multiplication and division! 1 ﹙√6－√2﹚²= 2 4√12÷﹙﹣√1／3﹚ 3 √18÷√8×√27／2 4 ﹙﹣7／4√24﹚﹙﹣2／7√6﹚ 5 √6﹙√24－√2﹚ 6 ﹙√7－3﹚²－﹙√7＋3﹚² Note that "1 / 3" is a third of the time, and "pro" - is a negative sign and "- is a minus sign

Radical addition, subtraction, multiplication and division! 1 ﹙√6－√2﹚²= 2 4√12÷﹙﹣√1／3﹚ 3 √18÷√8×√27／2 4 ﹙﹣7／4√24﹚﹙﹣2／7√6﹚ 5 √6﹙√24－√2﹚ 6 ﹙√7－3﹚²－﹙√7＋3﹚² Note that "1 / 3" is a third of the time, and "pro" - is a negative sign and "- is a minus sign

(√6-√2)²=√6²-2×√6×√2+√2²=6-2×√(6×2)+2=8-2×√(2²×3)=8-2×2√3=8-4√34√12÷[-√(1/3)]=4÷(-1)×√(12÷1/3)=-4×√36=-4×6=-24√18÷√8×√(27/2)=√(18÷8×27/2)=√(18×...

How to calculate the addition, subtraction, multiplication and division with root sign

First, simplify the radical. If the number under the root sign is different after simplification, it can not be added or subtracted. If the number under the root is the same after simplification, the number inside the root will not change, while the number outside the root will be added or subtracted. For example, 2 times of the root 21 plus 6 times of the root 21 is equal to 8 times of the root 21. Subtraction is the same principle. The multiplication and division of a radical is different from addition and subtraction, but it should be simplified first, After reduction, the numbers under the two roots are multiplied and divided, and the numbers other than the two roots are divided. For example, the number of 2 times the root is 3%, and the 6 times of the root 2 is equal to 12 times the root 6 (after completion, if it can be simplified, it needs to be simplified)
In addition, it is more complicated and involves rationalization of denominators, but it is not difficult to simplify even after division. For example, 6 times of root 2 divided by 2 times of root 3 equals 3 times of root 3. As long as 2 / 3 of root is simplified, equal to 6 / 3 of root, then the original formula is equal to root 6
Radical operation is not difficult, I may not say comprehensive, but I hope it is useful for you, as long as more practice no problem!

What is the formula of a + B + C ≥ radical Who remembers to use it now

Mean inequality, right?
If a, B and C are positive numbers, then a + B + C > = 3 * cubic root (ABC)

Is root a + B equal to root a + root B?

Is root 4 + 9 = root 4 + root 9? It's wrong

What is the root a square B equal to

Root a + root B: root a square B
=Root a + root a ^ 2B / radical B
=Radical a + a radical B / radical B
=A + radical a
If you don't understand, you are welcome to ask,

The operation rule of defining operation * is a * b = 2 root sign a + root sign B, then 8 * 32=

If the landlord gives a * b = 2 √ a + √ B
Then 8 * 32 = 2 √ 8 + √ 32 = 2 × 2 √ 2 + 4 √ 2 = 8 √ 2
If the landlord gives a * b = 2 (√ a + √ b)
Then 8 * 32 = 2 (√ 8 + √ 32) = 2 × (2 √ 2 + 4 √ 2) = 12 √ 2

If a = B, then root a equals root B. why is it wrong

Negative numbers can't have roots
a=-2
b=-2
However, there is no radical-2

What is the square of (2 root sign 3 minus 1)? How to solve it with the complete square formula

The original formula = (2 √ 3) 2 * (2 √ 3) * 1 + 1
=12-4√3+1
=13-4√3

Using the complete square formula to find the arithmetic square root of root 3 of 19-8

Well, for convenience, I use √ for the root
19-8 √ 3 = (√ 3) squared - 8 √ 3 + 4 squared = (√ 3-4) squared
Do you understand?

How to add, subtract, multiply and divide Radix For example: how to calculate root 2 + root 16 How to calculate 4 times root 32 + 8 times root 16 And less ride except Operation method There is also the reduction of the root sign, such as how to simplify the root sign 8 of 3 times (need to have a process) These are examples Please give examples to make me understand There are also 3 / 3 + 3 / 3 root 3 algorithms

The number under the root can be divided into 2 and 4
4 can open the root = 2, but the original 2 can not, so it can only be left in the root
So root 8 = 2 root sign 2
As for the addition and subtraction of the root sign, we need to simplify the items with the root sign to the simplest by the above methods, and then merge the similar items
For example, root number 13 + root number 117 = root number 13 + 3 root number 13 = 4 root number 13