How do you simplify # (3+sqrt5)(1+sqrt5)#?

1 Answer
Suren Abreu
Feb 11, 2017

#8+4sqrt5#

Explanation:

The simplest way to expand this is to multiply each term in the second set of brackets with each term in the first set of brackets and then simplify the product. Hence:

#(3+sqrt5)(1+sqrt5)#

#3(1+sqrt5)+sqrt5(1+sqrt5)#

#(3xx1)+(3xxsqrt5)+(sqrt5xx1)+(sqrt5xxsqrt5)#

#3+3sqrt5+1sqrt5+5#

Collect like terms.

#(3+5)+(3sqrt5+1sqrt5)#

#8+(3+1)sqrt5#

#8+4sqrt5#

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1255 views around the world
You can reuse this answer
Creative Commons License