SOLUTION: Hi please help me solve the following problems.Thanks in advance... 1)Multiply as indicated.If possible, simplify any radical expressions that appear in the product. (4 + sqrt

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hi please help me solve the following problems.Thanks in advance... 1)Multiply as indicated.If possible, simplify any radical expressions that appear in the product. (4 + sqrt       Log On


   

Question 191719This question is from textbook Introductory & Intermediate algebra
: Hi please help me solve the following problems.Thanks in advance...
1)Multiply as indicated.If possible, simplify any radical expressions that appear in the product.
(4 + sqrt of 5)(10-3sqrt of 5)
2)Solve each radical expression.
x=(sqrt of 3x+7)-3
3)Find each product.Write imaginary results in the form a + bi.
(7-2i)(-3+6i)

Regards,

Kattie This question is from textbook Introductory & Intermediate algebra

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1)Multiply as indicated.If possible, simplify any radical expressions that appear in the product.
(4 + sqrt of 5)(10-3sqrt of 5)
%284%2Bsqrt%285%29%29%2A%2810-3sqrt%285%29%29
= 40+-+2sqrt%285%29+-3%2A5
= 25+-+2sqrt%285%29
---------------------
2)Solve each radical expression.
x=(sqrt of 3x+7)-3
x%2B3+=+sqrt%283x%2B7%29
x%5E2+%2B+6x+%2B+9+=+3x%2B7
x%5E2+%2B+3x+%2B+2+=+0
(x+2)*(x+1) = 0
x = -2
x = -1
-----------------
3)Find each product.Write imaginary results in the form a + bi.
(7-2i)(-3+6i)
= -21 + 12 + 48i
= -9 + 48i