Find the square root of 7,60,384.Use this to find the value of √76.0384 -√0.760384. ❤❤❤Please answer it quickly.....i will mark as brainliest and i will give 5 thanks too,if u give correct answers.❤❤❤ ❌❌❌NO SPAM❌❌❌ SPAM ANSWERS WILL BE REPORTED...........
Answers
Given:
A number 7,60,384
To find:
Find the square root of 7,60,384
Solution:
From given, we have,
A number 7,60,384
we use the Hero's method to find the square root.
Step 1:
Divide the number (760384) by 2 to get the first guess for the square root.
Guess = 760384/2 = 380192.
Step 2:
Divide 760384 by the previous result.
d = 760384/380192 = 2.
Average the value of d with that of step 1:
(2 + 380192)/2 = 190097
Step 3:
Divide 760384 by the previous result.
d = 760384/190097 = 3.9999789581.
Average the value of d with that of step 2:
(3.9999789581 + 190097)/2 = 95050.4999894791
Step 4:
Divide 760384 by the previous result.
d = 760384/95050.4999894791 = 7.9997895864.
Average the value of d with that of step 3:
(7.9997895864 + 95050.4999894791)/2 = 47529.2498895328
Step 5:
Divide 760384 by the previous result.
d = 760384/47529.2498895328 = 15.9982327044.
Average the value of d with that of step 4:
(15.9982327044 + 47529.2498895328)/2 = 23772.6240611186
Step 6:
Divide 760384 by the previous result.
d = 760384/23772.6240611186 = 31.9856990985.
Average the value of d with that of step 5:
(31.9856990985 + 23772.6240611186)/2 = 11902.3048801086
Step 7:
Divide 760384 by the previous result.
d = 760384/11902.3048801086 = 63.8854413208.
Average the value of d with that of step 6:
(63.8854413208 + 11902.3048801086)/2 = 5983.0951607147
Step 8:
Divide 760384 by the previous result.
d = 760384/5983.0951607147 = 127.0887357755.
Average the value of d with that of step 7:
(127.0887357755 + 5983.0951607147)/2 = 3055.0919482451
Step 9:
Divide 760384 by the previous result.
d = 760384/3055.0919482451 = 248.8907086534.
Average the value of d with that of step 8:
(248.8907086534 + 3055.0919482451)/2 = 1651.9913284493
Step 10:
Divide 760384 by the previous result.
d = 760384/1651.9913284493 = 460.2832877542.
Average the value of d with that of step 9:
(460.2832877542 + 1651.9913284493)/2 = 1056.1373081018
Step 11:
Divide 760384 by the previous result.
d = 760384/1056.1373081018 = 719.9669911923.
Average the value of d with that of step 10:
(719.9669911923 + 1056.1373081018)/2 = 888.0521496471
Step 12:
Divide 760384 by the previous result.
d = 760384/888.0521496471 = 856.2380039305.
Average the value of d with that of step 11:
(856.2380039305 + 888.0521496471)/2 = 872.1450767888
Step 13:
Divide 760384 by the previous result.
d = 760384/872.1450767888 = 871.854947344.
Average the value of d with that of step 12:
(871.854947344 + 872.1450767888)/2 = 872.0000120664
Step 14:
Divide 760384 by the previous result.
d = 760384/872.0000120664 = 871.9999879336.
Average the value of d with that of step 13:
(871.9999879336 + 872.0000120664)/2 = 872
Therefore, the square root of 760384 is 872
Square root values
To find:
- Square root of 760384
- √76.0384 - √0.760384
Solution.
Part 1:
For the first answer, refer to the given attachment (the square root is found using division method).
Here, √760384 = 872
Past 2:
Now, √76.0384 = √(760384/10000)
= 872/100
= 8.72
and √0.760384 = √(760384/1000000)
= 872/1000
= 0.872
∴ √76.0384 - √0.760384 = 8.72 - 0.872
= 7.848
Answer.
- Square root of 760384 is 872
- √76.0384 - √0.760384 = 7.848
