Find the square root of 37.7695 up to 2 place of decimal
Answers
Hint: First of all, get the factors of 100. We can see that 100 is an even number, so its one factor is 2. Now, we can see that 100 can be written as
2×502×50
. We can see that 50 is an even number, so its one factor is 2. Now, we can see that 50 can be written as
2×252×25
. Now, 25 can be written as a product of 5 and 5. We have to write 100 as the product of these factors. Now, solve it further.
Complete step-by-step answer:
According to the question, it is given that our number is 100 and we have to find the square root of 100 up to 2 decimals.
We have to get the value of
100−−−√100
.
First of all, we have to find the factors of 100 and then only we can get the square root of
100−−−√100
………………….(1)
We can see that 100 is an even number and we know that even numbers are divisible by 2. So, 100 is also divisible by 2.
100=2×50100=2×50
………………….(1)
Therefore, 100 can be written as
2×502×50
.
Now, we need the factors of 50.
We can see that 50 is an even number and we know that even numbers are divisible by 2. So, 50 is also divisible by 2.
50=2×2550=2×25
……………………..(2)
Therefore, 50 can be written as
2×252×25
.
Now, we need the factors of 25.
We can see that 25 is divisible by 5.
25=5×525=5×5
……………………(3)
Therefore, 25 can be written as
5×55×5
.
Using equation (2) and equation (3), equation (1) can be written as,
100=2×2×5×5100=2×2×5×5
………………….(4)
We have to find the value of
100−−−√100
………………………….(5)
Putting the value of 100 from equation (4) in equation (5), we get
100−−−√
Answer:
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Step-by-step explanation:
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