How do you simplify (√5+4)(√5−1)?

2 Answers
smendyka
Apr 10, 2017

See the entire solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

(√5+4)(√5−1) becomes:

(√5×√5)−(√5×1)+(4×√5)−(4×1)

(√5)2−√5+4√5−4

5−√5+4√5−4

We can now group and combine like terms:

5−4−1√5+4√5

(5−4)+(−1+4)√5

1+3√5

Or

3√5+1

kamil9234
Apr 10, 2017

1+3√5

Explanation:

(√5+4)(√5−1)=

=5−√5+4√5−4=

=1+3√5

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