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Ainat [17]
3 years ago
13

Find the sq root the sq root of 5 is 2.24

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

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}}

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