Algebra Help, please

Question

Perform the indicated multiplication.  Then simplify the radical expression. (√t-3)^2

Answer 1

Hi Adeline;

I believe only the t is square-rooted.

(√t-3)^2

(√t-3)(√t-3)

Let's FOIL...

FIRST...(√t)(√t)=t

OUTER...(√t)(-3)=-3√t

INNER...(-3)(√t)=-3√t

LAST...(-3)(-3)=9

t-(3√t)-(3√t)+9

t-(6√t)+9