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Which expression is equivalent to the one shown below?
√16-3
A. 16√3
○ B. 16-3
○ C. 4√3
OD. 4.3


Sagot :

To determine which expression is equivalent to the given expression [tex]\(\sqrt{16} - 3\)[/tex], let's break it down step by step.

1. Evaluate the square root of 16:
[tex]\[ \sqrt{16} = 4 \][/tex]

2. Subtract 3 from the result:
[tex]\[ 4 - 3 = 1 \][/tex]

Thus, the expression [tex]\(\sqrt{16} - 3\)[/tex] simplifies to 1.

Now, let’s compare this simplified result with the given options:

- Option A: [tex]\(16\sqrt{3}\)[/tex]: This is not equivalent to 1.
- Option B: [tex]\(16 - 3\)[/tex]: This simplifies to 13, which is not equivalent to 1.
- Option C: [tex]\(4\sqrt{3}\)[/tex]: This is not equivalent to 1.
- Option D: [tex]\(4.3\)[/tex]: This is not equivalent to 1.

Therefore, none of the options provided are equivalent to the expression [tex]\(\sqrt{16} - 3\)[/tex]. The correct result of the given expression is 1.
Option D is correct
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