Question

For what values of a is sqrt{10-a} defined?

Answer 1

can the inside be negative?

Answer 2

can we have sqrt{negative number}?

Answer 3

no

Answer 4

\[\sqrt{a-10}\]is defined if the radicand is greater than or equal to zero

Answer 5

so we want the inside to be positive or zero
which means we want it to be > or = 0

Answer 6

\[10-a \ge 0\]

Answer 7

can we have
\[\sqrt{\text{negative number}}\]?

Answer 8

yes

Answer 9

no