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Sagot :
To determine the square root of [tex]\(225\)[/tex], we need to find a number that, when multiplied by itself, gives the product [tex]\(225\)[/tex].
Let's check:
1. If we consider [tex]\(14\)[/tex]:
[tex]\[ 14 \times 14 = 196 \][/tex]
This is not equal to [tex]\(225\)[/tex], so [tex]\(14\)[/tex] is not the square root of [tex]\(225\)[/tex].
2. If we consider [tex]\(15\)[/tex]:
[tex]\[ 15 \times 15 = 225 \][/tex]
This is exactly [tex]\(225\)[/tex], so [tex]\(15\)[/tex] is the square root of [tex]\(225\)[/tex].
3. If we consider [tex]\(25\)[/tex]:
[tex]\[ 25 \times 25 = 625 \][/tex]
This is much larger than [tex]\(225\)[/tex], so [tex]\(25\)[/tex] is not the square root of [tex]\(225\)[/tex].
Based on these calculations, the correct option is:
[tex]\[ \boxed{15} \][/tex]
Let's check:
1. If we consider [tex]\(14\)[/tex]:
[tex]\[ 14 \times 14 = 196 \][/tex]
This is not equal to [tex]\(225\)[/tex], so [tex]\(14\)[/tex] is not the square root of [tex]\(225\)[/tex].
2. If we consider [tex]\(15\)[/tex]:
[tex]\[ 15 \times 15 = 225 \][/tex]
This is exactly [tex]\(225\)[/tex], so [tex]\(15\)[/tex] is the square root of [tex]\(225\)[/tex].
3. If we consider [tex]\(25\)[/tex]:
[tex]\[ 25 \times 25 = 625 \][/tex]
This is much larger than [tex]\(225\)[/tex], so [tex]\(25\)[/tex] is not the square root of [tex]\(225\)[/tex].
Based on these calculations, the correct option is:
[tex]\[ \boxed{15} \][/tex]
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