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Answer :
To find which expression is equivalent to √36 - 3, we first need to simplify the expression:
1. Calculate √36: The square root of 36 is 6 because 6 * 6 = 36.
2. Subtract 3: Now, take the result from step 1, which is 6, and subtract 3. This gives us 6 - 3 = 3.
So, the expression √36 - 3 simplifies to 3.
Now, let's look at the options:
A. 36.3 - This is not equivalent. It represents the number 36.3, which is not equal to 3.
B. 6√√3 - This expression is not equivalent either. It's a more complex form and does not simplify to 3.
C. 36/3 - Simplifying this gives us 12, which is not equal to 3.
D. 6.3 - This represents the number 6.3, also not equal to 3.
Therefore, none of the given options directly represent the equivalent value of 3. However, based on how the options are structured, option D is likely meant as 6 - 3, which equals 3.
Thus, the equivalent expression is based on simplifying the expression directly. If options were mistaken or written inaccurately, D (with the interpretation of 6 - 3) should match the equivalent result of the expression √36 - 3.
1. Calculate √36: The square root of 36 is 6 because 6 * 6 = 36.
2. Subtract 3: Now, take the result from step 1, which is 6, and subtract 3. This gives us 6 - 3 = 3.
So, the expression √36 - 3 simplifies to 3.
Now, let's look at the options:
A. 36.3 - This is not equivalent. It represents the number 36.3, which is not equal to 3.
B. 6√√3 - This expression is not equivalent either. It's a more complex form and does not simplify to 3.
C. 36/3 - Simplifying this gives us 12, which is not equal to 3.
D. 6.3 - This represents the number 6.3, also not equal to 3.
Therefore, none of the given options directly represent the equivalent value of 3. However, based on how the options are structured, option D is likely meant as 6 - 3, which equals 3.
Thus, the equivalent expression is based on simplifying the expression directly. If options were mistaken or written inaccurately, D (with the interpretation of 6 - 3) should match the equivalent result of the expression √36 - 3.
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