Question

Evaluate : √441+√196/√441−√196

Answer 1

Answer:

Equivalent fractions: 392/882 588/1323 980/2205 1372/3087 28/63

More fractions: 392/441 196/882 588/441 196/1323 197/441 196/442195/441 196/440

Step-by-step explanation:

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Answer 2

5

Step-by-step explanation:

$\frac{ \sqrt{441} + \sqrt{196} }{ \sqrt{441} - \sqrt{196} } = \frac{ \sqrt{441} + \sqrt{196} }{ \sqrt{441} - \sqrt{196} } \times \frac{ \sqrt{441} - + \sqrt{196} }{ \sqrt{441} + \sqrt{196} } \\ = \frac{ {( \sqrt{441 + \sqrt{196}) } }^{2} }{ {( \sqrt{441}) }^{2} - {( \sqrt{196} )}^{2} } \\ = \frac{{( \sqrt{441} )}^{2} + 2 \times \sqrt{441 } \times \sqrt{196} + {( \sqrt{196}) }^{2} }{441 - 196} \\ = \frac{441 + 2 \times 21 \times 14 + 196 }{245} \\ = \frac{441 + 588 + 196}{245} \\ = \frac{1225}{245} \\ = 5$

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