Approximating Irrational Numbers
Essential Question: How do you approximate the square root of a non-perfect square? What is
a rational and an irrational number?
A _____________________ is any number that can be written as a ___________________ in the
𝑎
form of 𝑏 where a and b are integers and b is not 0.
𝑎
A _________________ is a number that is not rational. They cannot be written in the form of 𝑏 .
1. When estimating square roots to the nearest _______________, you must find the perfect
squares above and below the non-perfect square.
2. The __________ ______________ you select will always be the square root of the perfect
square __________________ the non-perfect square.
3. Calculate the ___________________ between each of the perfect squares and the nonperfect square.
4. Divide the difference between the perfect square _____________ and the non-perfect
square by the total differences and round to the nearest tenth.
1. √5
2. √47
3. √250
4. √12
The area of a square is given. Estimate the length of a side of the square to the nearest tenth.
1.
2.
A  109in2
A  203cm2