estimate the square root of 250 to the nearest whole numbers
Answers
Step-by-step explanation:
Square root of 97 to the nearest whole number is 10.
Square root of 250 to the nearest whole number is 16.
Square root of 780 to the nearest whole number is 30.
Step-by-step explanation:
A) \sqrt{97}
97
Group the digits into pairs
For digits to the left of the decimal point, pair them from right to left.
For digits after decimal point, pair them from left to right.
Now we have, 97
Refer the attached figure a for further steps
So, √97 = 9.848
So, Square root of 97 to the nearest whole number is 10.
B) \sqrt{250}
250
Group the digits into pairs
For digits to the left of the decimal point, pair them from right to left.
For digits after decimal point, pair them from left to right.
Now we have, 02 50
Refer the attached figure b for further steps
So, √250 = 15.811
So, Square root of 250 to the nearest whole number is 16.
C) \sqrt{780}
780
Group the digits into pairs
For digits to the left of the decimal point, pair them from right to left.
For digits after decimal point, pair them from left to right.
Now we have, 07 80
Refer the attached figure c for further steps
So, √780 = 27.928
So, Square root of 780 to the nearest whole number is 30.
Answer:
given √250
225<250<256
15^2<250<16^2
16^2 is closer to 250 more than 6
the estimated value to nearest whole number of 250 is 16