In the previous post we have discussed about Is zero an Even Number and In today's session we are going to discuss about How to tackle Radicals. Radicals basically stand to represent the square root and the cube roots of the given number.
Let us consider any number say 16. We know that when we divide 16 by 4 , we get 4 as the quotient. So we can write 4 * 4 = 16, this can also be expressed as 16 = 4>2. It is called 4 with the exponent 2. Similarly if we write the number 27 as 3 * 3 * 3 = 3>3, here the exponent is 3. So we define radical as any function, which help us to find the find the divider of the given argument. If we have any positive real number a, such that x>2 = a. It has two solutions: x = + Root (a) or x = - root ( a). (know more about Radical , here)
SO we define the radical as a symbol which is placed over the number or the expression. The base number is called the radicand and the power of the number is called the root of the radicand. We can also write the higher roots of the radicand as the cube root, the fourth root of the radicand etc. So we say that the term radical can also be used to represent the entire expression which consists of the radical sign and the radicand. If we have the number as fourth root of 16, it will be expressed as follows:
Fourth root ( 16 ) = fourth root ( 2 * 2 * 2 * 2 ) = fourth root ( 2>4)
Thus we get the result as 2.
In order to learn how to simplify expressions, we can take online help of math tutorials and can understand the concepts in details. Karnataka secondary education board sample papers are also available online to understand the pattern of the paper.
Let us consider any number say 16. We know that when we divide 16 by 4 , we get 4 as the quotient. So we can write 4 * 4 = 16, this can also be expressed as 16 = 4>2. It is called 4 with the exponent 2. Similarly if we write the number 27 as 3 * 3 * 3 = 3>3, here the exponent is 3. So we define radical as any function, which help us to find the find the divider of the given argument. If we have any positive real number a, such that x>2 = a. It has two solutions: x = + Root (a) or x = - root ( a). (know more about Radical , here)
SO we define the radical as a symbol which is placed over the number or the expression. The base number is called the radicand and the power of the number is called the root of the radicand. We can also write the higher roots of the radicand as the cube root, the fourth root of the radicand etc. So we say that the term radical can also be used to represent the entire expression which consists of the radical sign and the radicand. If we have the number as fourth root of 16, it will be expressed as follows:
Fourth root ( 16 ) = fourth root ( 2 * 2 * 2 * 2 ) = fourth root ( 2>4)
Thus we get the result as 2.
In order to learn how to simplify expressions, we can take online help of math tutorials and can understand the concepts in details. Karnataka secondary education board sample papers are also available online to understand the pattern of the paper.
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