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Following is a knowledge on radicals which will help you to get solution to algebra problems. A radical is a root sign. Radicals require an index to define what root it is. With square roots, the two is generally left off. With cube roots (index of three) a 3 is written on top of the left side of the radical. The index tells how many times the root needs to be multiplied by itself to equal the radicand.
We can even generalize and find the nth root which would be a number multiplied by itself n times to equal the radicand.
Ex.
Square root of 9.
2 is the index and 9 is the radicand. The square root of 9 is 3. This means that 3 x 3 = 9
Cube root of 64.
3 is the index and 64 is the radicand. The cube root of 64 is 4. This means that 4 x 4 x 4 = 64
One last thing to think about, we can also write the index, for exampe 2 in the square root of 9, as a fractional exponent. So 9(1/2) is another way of writting the square root of 9 and 64(1/3) is another way of saying the cube root of 64.
Now the law of exponents say (am)n= amn so, if we have the square root of 9 raised to the power 2 we have
(91/2)2 = 9(2/2) =91 =9 which helps us to see how we relate square root and square of a number.
The concept of radical is very, very important in algebra. Among other reasons, it was proven by Ruffini, and more later more rigorously by Abel, in 1824, that quintic (and higher) equations cannot be solved in radicals. There are solutions to these higher equations, but these solutions require methods from numerical analysis or from the theory of elliptic functions, rather than algebraic factorization into radicals.
For solving radical equations get help from math all time. This will help you to learn about radicals in algebra.
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What social studies words start with r?
Some social studies words that start with "R" include "revolution," "representation," and "rural."
What is int social studies?
Int social studies is short for international social studies.
When was Social Democrat Radical Party created?
Social Democrat Radical Party was created on 1863-12-27.
When did Independent Radical Social Democratic Party end?
Independent Radical Social Democratic Party ended in 1924.
When was Independent Radical Social Democratic Party created?
Independent Radical Social Democratic Party was created in 1921.
Is the correct term you teach Social Studies or you teach social studies?
social studies subjects are never capitalizied
Is social studies a proper noun?
When it is the name of a course or part of a book title, Social Studies is a proper noun. For most other uses, social studies is a common noun. Example uses: Your school requires that you take a social studies course each year. I get my highest grades in social studies. You must take Social Studies I and Social Studies II, but Social Studies III is optional.
Is social studies an social science the same?
Social studies is a broader term that includes various disciplines such as history, geography, economics, and political science. Social science is a more specific term that refers to the scientific study of human society and social relationships. In essence, social studies is a multidisciplinary field that incorporates social science principles.
What is the social studies definition of caravan?
what is a caravan in social studies
Is greek mythology science or social studies?
Greek mythology is typically studied under the umbrella of social studies. It is a part of cultural studies that explores the beliefs, stories, and customs of ancient Greek society. While it may touch on aspects of science in terms of interpreting natural phenomena through mythological stories, the main focus is on understanding the social and cultural aspects of ancient Greece.
What are 7 grade social studies words that begin with the letter I?
Unemployment is a social studies word. Urban is a social studies word.
Is studied a proper noun?
When it is the name of a course or part of a book title, Social Studies is a proper noun. For most other uses, social studies is a common noun. Example uses: Your school requires that you take a social studies course each year. I get my highest grades in social studies. You must take Social Studies I and Social Studies II, but Social Studies III is optional.
