multiply (2�ã7-5�ã3)(8�ã7-5�ã3)

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what does the ~ over the a mean?

does '2a7' mean 2a^7 ('a' to the 7th power) ?

that's means square root

square root of ?

'2a7' means?

does it mean 2(sqrt7)?

To multiply the given expression, (2√7 - 5√3)(8√7 - 5√3), we can use the FOIL method.

FOIL stands for "First, Outer, Inner, Last" and it helps us distribute and combine like terms when multiplying two binomials.

Let's break down the steps:

First: Multiply the first terms of both binomials.
(2√7) * (8√7) = 16√49 = 16 * 7 = 112

Outer: Multiply the outer terms of both binomials.
(2√7) * (-5√3) = -10√(7*3) = -10√21

Inner: Multiply the inner terms of both binomials.
(-5√3) * (8√7) = -40√(3*7) = -40√21

Last: Multiply the last terms of both binomials.
(-5√3) * (-5√3) = 25 * 3 = 75

Finally, combine the like terms obtained from each step:

112 - 10√21 - 40√21 + 75

Simplify the square root terms:
112 - √21(10 + 40) + 75

Combine the like terms:
112 - 50√21 + 75

Combine the constants:
187 - 50√21

So the final expression is 187 - 50√21.