
What is the square root of 100000?
Answer
443.4k+ views
Hint: We can write 100000 as . A square of a number ‘ ’ is a number such that , in other words, a number whose square root of .now we have to find the square root of 100000. Square root of can be written as
Complete step-by-step answer:
From the given question it is clear that we have to find the square root of .
When we are trying to find the square root of a number, the number should be a positive number because we cannot write a negative number under the square root. If we write a negative number under the square root, we will get a complex number. But we want real numbers.
As we are given a positive number, we can write under the square root.
Let us consider
Now we have to find the square root of . let it be
So, we can write
we can write 100000 as .
From the basic concept of mathematics, we can write
where
So, we can write
We can also write
…………….(1)
From the basic concept of mathematics, we can also write
So now we can write
So, the equation becomes
On simplification we get
Om multiplication of and we get
We know the standard value of
On further simplification, we get
is the root of .
Note: Students should avoid calculation mistakes. Because while doing calculations even a small calculation error can lead to major error while finding the root of . Students should know the applications of the square root.
Complete step-by-step answer:
From the given question it is clear that we have to find the square root of
When we are trying to find the square root of a number, the number should be a positive number because we cannot write a negative number under the square root. If we write a negative number under the square root, we will get a complex number. But we want real numbers.
As we are given a positive number, we can write
Let us consider
Now we have to find the square root of
So, we can write
we can write 100000 as
From the basic concept of mathematics, we can write
So, we can write
We can also write
From the basic concept of mathematics, we can also write
So now we can write
So, the equation becomes
On simplification we get
Om multiplication of
We know the standard value of
On further simplification, we get
Note: Students should avoid calculation mistakes. Because while doing calculations even a small calculation error can lead to major error while finding the root of
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