PLEASE HELP ME ASAP :( Solve for a.
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a
Enter the number that goes
beneath the radical symbol.
Enter

Answer that goes in the box = 28

Explanation:

We have a white triangle shown as the empty space between the green squares.

This right triangle has the following sides:

Use the Pythagorean Theorem to solve for 'a'

a^2 + b^2 = c^2

a^2 + 6^2 = 8^2

a^2 + 36 = 64

a^2 = 64 - 36 subtract 36 from both sides

a^2 = 28

a = sqrt(28) apply the square root to both sides

Optionally we can simplify like so

a = sqrt(28)

a = sqrt(4*7)

a = sqrt(4)*sqrt(7)

a = 2*sqrt(7)

But this would not fit the answer format your teacher has provided. So we'll stick to sqrt(28) as the final answer.