Respuesta :

The value of A is 31.5.

The square root of any number is the factor that we can be multiplied by itself to get that given number. The symbol for square root is √.

Here, we are given an equation as follows-

A=√[15.5(15.5-14) (15.5-11) (15.5-6)]

Let us simplify it step by step. Firstly, we will perform the operations inside the brackets as follows-

A = √[15.5(1.5) (4.5) (9.5)]

Now, multiplying the terms we get-

A = √[15.5(1.5) (4.5) (9.5)]

A = √[(23.25) (42.75)]

A = √[(993.9375)]

Now, we calculate the square root of the number obtained above-

A = 31.5

Thus, the value of A in the equation A=√15.5(15.5-14) (15.5-11) (15.5-6) comes out to be 31.5.

Learn more about square roots here-

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