3 years ago

Please help!!! i’m not good at proofs

Mathematics

1 answer:

Studentka2010 [4]3 years ago

4 0

Answer:

17) b. commutative property

18) NOT SURE d. associative property

19) NOT SURE d. associative property

20) a. commutative property

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Find the sq root the sq root of 5 is 2.24

vlada-n [284]

Answer: $\bold{\dfrac{7-3\sqrt5}{2}}$

Step-by-step explanation:

You did great until you expanded (3 - √5)². <em>You forgot the middle term</em>

$\dfrac{3-\sqrt5}{3+\sqrt5}\bigg(\dfrac{3-\sqrt5}{3-\sqrt5}\bigg)\\\\\\=\dfrac{(3-\sqrt5)(3-\sqrt5)}{(3+\sqrt5)(3-\sqrt5)}\\\\\\=\dfrac{9-3\sqrt5-3\sqrt5+5}{9-3\sqrt5+3\sqrt5-5}\\\\\\=\dfrac{14-6\sqrt5}{4}\\\\\\\text{Factor out a 2 from the numerator and denominator}\\=\dfrac{2(7-3\sqrt5)}{2(2)}\\\\\\=\large\boxed{\dfrac{7-3\sqrt5}{2}}$