Use the Rule of 72 to solve. Manny has his money in a savings account earning 4.5% interest. How long it will take his money to
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There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.
The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.
Find the prime factorization of 864:
Take any number that is repeated twice in the square root, and move it outside of the root:
The simplified form of √864 will be 12√6.
The second method is evaluating the root. Using a calculator, we can find the exact value of √864.
Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.
These are 45-45-90 triangles, whose hypotenuses are times their legs. Given a side of length 1, for example, the diagonal length is
The first few ordered pairs
in the table would be