The square root of 45 to the nearest hundredths place is;
Option B; 6.71
We want to approximate the square root of 45 to the nearest hundredths place.
Now, this is expressed as; √45
Breaking it down, we have;
√45 = √(9 × 5)
>> √9 × √5
>> 3√5
>> 3 × 2.23607
>> 6.70821
Approximating to the nearest hundredths means that if the third term to the right of the decimal is more than 5 we add 1 to the second term to the right of the decimal and if the third term to the right of the decimal is less than 5 we leave the second term to the right of the decimal the way it is and make the third term 0.
In this case of 6.70821, the third term to the right of the decimal is more than 5 and so we add 1 to the second term to the right of the decimal to get; 6.71
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