Question

Estimate V130 to the nearest integer.

Answer 1

`\large\boxed{√(130)\approx11}`

Explanation:

`√(a)=b\iff b^2=a\\\\11<√(130)<12\\\\\text{because}\ 11^2=121<130\ \text{and}\ 12^2=144>130\to121<130<144.\\\\\text{We calculate the difference to check closer to which number a given root is}\\\\130-121=9\\144-130=14\\\\\text{closer to 11}`