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144+0.0324−6.76=?
8.53
9.58
14.76
7
9.58
Evaluate each root individually: 144=12, 0.0324=0.18 (since 182=324), and 6.76=2.6 (since 262=676). Then simply perform addition and subtraction.
An expression containing square roots: 144+0.0324−6.76
x2=x
Evaluate each root individually: 144=12, 0.0324=0.18 (since 182=324), and 6.76=2.6 (since 262=676). Then simply perform addition and subtraction.
Confusing the number of decimal places when taking the square root; for example, 0.0324 must have two decimal places because 0.18×0.18=0.0324.
Evaluate the first term
Find the square root of 144.
144=12
Evaluate the second term
Find the square root of 0.0324. Since 182=324, 0.0324=0.18.
0.0324=0.18
Evaluate the third term
Find the square root of 6.76. Since 262=676, 6.76=2.6.
6.76=2.6
Perform the final calculation
Substitute the evaluated roots into the expression: 12+0.18−2.6.
12+0.18−2.6=12.18−2.6=9.58
B is correct because the evaluated expression 12+0.18−2.6 results in 9.58.
This concept is fundamental for simplifying complex expressions in Algebra and Mensuration problems involving geometry.