Answer :
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.
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.
