When a radical is not a perfect square (1, 4, 9, 16, ), estimating square roots is a valuable tool. When asked to estimate the value of a radical between two consecutive integers, find the two perfect squares that are slightly less and slightly more than the radicand. Also, remember that negative numbers do not have a real number square root.
Sample Problems (8)
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Solve x² − 10x − 40 = 0 by completing the square. Round your answer to the nearest hundredth.
Solve 4x² − 4x + 9 = 0 by completing the square.
Make x² + 8x + ___ a perfect square trinomial.