multiply and simplify if possible. ( 3 − √ 5 ) ( 7 − √ 5 )show all the steps that you use to solve this problem
To multiply and simplify (3 - √5) and (7 - √5), we will use the distributive property and simplify:
(3 - √5)(7 - √5)
= 3(7) - 3(√5) - (√5)(7) - (√5)(-√5)
= 21 - 3√5 - 7√5 + 5
= 26 - 10√5
Therefore, (3 - √5)(7 - √5) = 26 - 10√5.