Multiple Choice
Simplify the root.
11. Roots, Radicals, and Complex Numbers
Introduction to Radical Expressions
Multiple Choice
Simplify the root.
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Verified step by step guidance1
Identify the expression to simplify: the negative square root of 1024, which can be written as \(-\sqrt{1024}\).
Recall that the square root of a number \(a\) is a value that, when multiplied by itself, gives \(a\). So, find \(\sqrt{1024}\) by determining which number squared equals 1024.
Recognize that 1024 is a perfect square because \(32 \times 32 = 1024\), so \(\sqrt{1024} = 32\).
Apply the negative sign outside the square root to the result, giving \(-\sqrt{1024} = -32\).
Thus, the simplified form of the expression is \(-32\).
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