Question

Which expression is equivalent to the given expression (86 - √(36) - √(26))?

A. (54 - √(2))

B. (136 - √(2))

C. (96 - √(2))

D. (54)

Answer 1

The expression equivalent to (86 - √(36) - √(26)) is (96 - √(2)).

Step-by-step explanation:

To find which expression is equivalent to (86 - √(36) - √(26)), we can simplify the expression by evaluating the square roots and subtracting them from 86.

The square root of 36 is 6, and the square root of 26 is approximately 5.099.

Substituting these values, we can simplify the expression to (86 - 6 - 5.099), which equals 75.901.

Comparing the simplified expression to the given options, we can see that option D, which is (54), is not equivalent to the given expression.

Therefore, the correct answer is option C, which is (96 - √(2)).