
Find the square root of 1024. Hence find the value of .
Answer
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Hint: Here, we will be representing the number (whose square root is to be calculated) as the product of prime factors.
As we know that
Taking square root on both sides on the above equation, we get
So, the square root of 1024 is 32.
Also,
Since we already calculated and now using this, we get
Therefore the value of is 3203.52.
Note: The square root of division of two functions is equal to the division of square roots of these two functions i.e., and the square root of product of two functions is equal to the product of square root of these two functions i.e., .
The most common way to make mistakes in such problems is to inappropriately represent the decimal point.
As we know that
Taking square root on both sides on the above equation, we get
So, the square root of 1024 is 32.
Also,
Since we already calculated
Therefore the value of
Note: The square root of division of two functions is equal to the division of square roots of these two functions i.e.,
The most common way to make mistakes in such problems is to inappropriately represent the decimal point.
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