Math, asked by LakshmiSubhash, 6 hours ago

compute Square of 7¾ ​

Answers

Answered by heervyas1616
0

Answer:

14.5 is the answer to your question

Step-by-step explanation:

Hope it helps...

Answered by KingsTo0940U
1

Answer:

2.64.

Step-by-step explanation:

Step 1:  

Find out the two perfect square numbers which are very close to the given number on either side.  

For the number ‘7’, the immediate perfect square lesser than 7 is ‘4’ and the immediate perfect square greater than 7 is ‘9’.

Step 2:

Note down the square roots of the perfect squares identified in Step 1.  

Square root of ‘4’ is ‘2’ and the square root of ‘9’ is ‘3’.

Step 3:

It can be inferred that the square root of a given number lies between the square roots of numbers determined in step 2.

Square root of ‘7’ is any number between 2 and 3.

Step 4:  

Divide the number whose square root is determined by any of the numbers obtained in Step 2.

‘7’ can be divided either by ‘2’ or ‘3’.  

Let us divide ‘7’ by ‘3’

73=2.333

Step 5:  

Find the average of the quotient and divisor in Step 4.

The average of 3 and 2.33 is to be found

Average=3+2.332=5.332=2.665

Step 6:

To get an accurate value of the square root, an average of the answer in step 5 and divisor of step 4 can be found. Finding of average can be continued as many times as required to get a precise value.

The average of 3 and 2.665 is to be found if the answer in step 5 for the value of under root 7 is not precise.

However the answer in step 5 is almost the same as the value of under root 7 calculated using the calculator (2.646).    

(7–√)

=2.665 by average method.

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