
How do you simplify ?
Answer
480.6k+ views
Hint: The given question is about the simplification of the term. To simplify the term we need to divide the term into multiple terms, we can divide the term by using the method prime factorization. The square root of a number is the multiplication of the same number. Here in the question, we need to find the sixth root of the term \ [256\]. The sixth root means multiplying the same number six times to get the term .
Complete step by step answer:
The given term is
Any number can be divided by the basic number .
So, now let’s divide the term into multiple terms .
As we know that
Now let’s do the prime factorization for the number with .
So the number is calculated times to get the number .
We need the simplified term which can be multiplied six times to get the number .
Now we can simplify the term
As the simplified is in terms of and .
Now again let’s simplify the above equation in the terms of .
And we get the simplified term that is
Hence the simplified term is .
Note:
Square root is inverse of the square. Squaring of numbers results in the higher value but the square root of several results from the lower value is known as simplified value. The square root is written as in exponent form whereas the square is written as In exponent form.
For example
Square of means multiplying two times.
The square root of means dividing the number exactly into half.
Complete step by step answer:
The given term is
Any number can be divided by the basic number
So, now let’s divide the term
As we know that
Now let’s do the prime factorization for the number
So the number
We need the simplified term which can be multiplied six times to get the number
Now we can simplify the term
As the simplified is in terms of
Now again let’s simplify the above equation in the terms of
And we get the simplified term that is
Hence the simplified term
Note:
Square root is inverse of the square. Squaring of numbers results in the higher value but the square root of several results from the lower value is known as simplified value. The square root is written as
For example
Square of
The square root of
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