
Find the square root of 104 correct to 2 decimal places
Answer
504k+ views
Hint: A square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x For example, 4 and −4 are square roots of 16, because
Complete step-by-step answer:
We can do this by finding some factors of the number 104. So the lowest by which we can divide 104 is 2.
So the number becomes 52 and then again if we divide it by 2 we will get 26. Now as 26 is an even number it will again be divisible by 2. So we will left with 13
Which means that
We know if we square root in both the sides, the numbers which are occurring twice will come out of the root once.
Which means that
Hence we are left with
Now we know the value of
So by putting the value of
We will get
So the final answer is 10.18
Note: We cannot have square roots of negative numbers as we know that square of any integer is positive. But the square root can have both + and minus signs. But if we try to find the value of any -ve integer it will go to the complex number domain.
Complete step-by-step answer:
We can do this by finding some factors of the number 104. So the lowest by which we can divide 104 is 2.
So the number becomes 52 and then again if we divide it by 2 we will get 26. Now as 26 is an even number it will again be divisible by 2. So we will left with 13
Which means that
We know if we square root in both the sides, the numbers which are occurring twice will come out of the root once.
Which means that
Hence we are left with
Now we know the value of
So by putting the value of
We will get
So the final answer is 10.18
Note: We cannot have square roots of negative numbers as we know that square of any integer is positive. But the square root can have both + and minus signs. But if we try to find the value of any -ve integer it will go to the complex number domain.
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