
How do you find the square root
Answer
482.1k+ views
Hint: The given question is to find out the square root of the given number. Since is the square of . Therefore the square root of . Hence we can say that square root is nothing but those number if we square the square root number then we get same number back or we can say that square of
Square root of
Complete step-by-step answer:
The given question is to find out the square root of the given number. Square of any number means to multiply that number with itself and hence the number obtained is known as square of the number. On the other hand if we do the square root of the obtained number we get the same number twice but with opposite signs, One is positive and other is negative. Herein the given question, we have to find out the square root of the given number which is
Here we have to find out the square root of
We will find out the square root of by prime factorization method. Prime factorization method is the method in which we make the possible smallest factors of the given number and from them and when we multiply the factors we get the same number again.
Here we have to find out the square root of .
Since is divisible by only means from is not divisible by any number and on divided by left with . Also is divisible by therefore we get the factors of which are
Now square root of
And we can write
Because these are the factors of
Inside the square root twice becomes if we take out of the square root.
Therefore we get
Hence square root of
Note: If we take square root on both sides we get
In left side square root and square gets cancel and we get
Because square of and we also know square of and square root of because if we take square of we get . Therefore square root of and
Square root of
Complete step-by-step answer:
The given question is to find out the square root of the given number. Square of any number means to multiply that number with itself and hence the number obtained is known as square of the number. On the other hand if we do the square root of the obtained number we get the same number twice but with opposite signs, One is positive and other is negative. Herein the given question, we have to find out the square root of the given number which is
Here
We will find out the square root of
Here we have to find out the square root of
Since
Now
And we can write
Because these are the factors of
Inside the square root
Therefore we get
Hence square root of
Note: If we take square root on both sides we get
In left side square root and square gets cancel and we get
Because square of
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