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AnnZ [28]
3 years ago
7

Simplify the following expressions:

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

1.) 10+2√21

2.) 8-2√15

3.) 38+2√10

solution to all the answers:

NUMBER 1:

<em>=</em>><em> use </em><u>(a + b)^2 + 2ab + b^2</u><em> to expand the expression </em>(√3 +√7)^2<em>, then it should look like this:</em> <u>3</u> + 2√21 <u>+</u> <u>7</u>.

=> <em>add the numbers:</em> <u>10</u> + 2√21.

NUMBER 2:

<em>=> use </em><u>(a + b)^2 + 2ab + b^2</u><em> to expand the expression </em>(√5 -√3)^2<em>, then it should look like this:</em> <u>5 </u>- 2√15 <u>+</u> <u>3</u>.

<em>=> add the numbers:</em> 8 - 2√15.

NUMBER 3:

<em>=> use </em><u>(a + b)^2 + 2ab + b^2</u><em> to expand the expression </em>(2√5 + 3√2)^2<em>, then it should look like this:</em> <u>20</u> + 12√10 <u>+</u> <u>18</u>.

<em>=> add the numbers:</em> 38 + 12√10.

I HOPE THIS HELPED!!

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