find the √290 in step wise manner
please help.
Answers
Answer:
17.029386365926
Step-by-step explanation:
The square root of 290 is 17.029386365926. Or,
√290 = 17.029386365926
See, below on this web page, details on how to calculate this square root us
Answer:
17.02938
Step-by-step explanation:
Step 1:
Divide the number (290) by 2 to get the first guess for the square root .
First guess = 290/2 = 145.
Step 2:
Divide 290 by the previous result. d = 290/145 = 2.
Average this value (d) with that of step 1: (2 + 145)/2 = 73.5 (new guess).
Step 3:
Divide 290 by the previous result. d = 290/73.5 = 3.9455782313.
Average this value (d) with that of step 2: (3.9455782313 + 73.5)/2 = 38.7227891157 (new guess). .
Step 4:
Divide 290 by the previous result. d = 290/38.7227891157 = 7.4891299574.
Average this value (d) with that of step 3: (7.4891299574 + 38.7227891157)/2 = 23.1059595366 (new guess).
Step 5:
Divide 290 by the previous result. d = 290/23.1059595366 = 12.5508745716.
Average this value (d) with that of step 4: (12.5508745716 + 23.1059595366)/2 = 17.8284170541 (new guess).
Step 6:
Divide 290 by the previous result. d = 290/17.8284170541 = 16.2661664869.
Average this value (d) with that of step 5: (16.2661664869 + 17.8284170541)/2 = 17.0472917705 (new guess).
Step 7:
Divide 290 by the previous result. d = 290/17.0472917705 = 17.0114997681.
Average this value (d) with that of step 6: (17.0114997681 + 17.0472917705)/2 = 17.0293957693 (new guess).
Step 8:
Divide 290 by the previous result. d = 290/17.0293957693 = 17.0293769626.
Average this value (d) with that of step 7: (17.0293769626 + 17.0293957693)/2 = 17.029386366 (new guess).
So, we can say that the square root of 290 is 17.02938
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