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The value of \(\frac{{\sqrt {80}- \sqrt {112} }}{{\sqrt {45}- \sqrt {63} }}\) is1). 3/42). \(1\frac{3}{4}\)3). \(1\frac{1}{3}\)4). \(1\frac{7}{9}\) |
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Answer» The given expression: $(\begin{ARRAY}{l}\frac{{\sqrt {80}- \sqrt {112} }}{{\sqrt {45}- \sqrt {63} }}\\ = \frac{{\sqrt {4 \TIMES 4 \times 5}- \sqrt {4 \times 4 \times 7} }}{{\sqrt {3 \times 3 \times 5}- \sqrt {3 \times 3 \times 7} }}\\ = \frac{{4\sqrt 5- 4\sqrt 7 }}{{3\sqrt 5- 3\sqrt 7 }}\\ = \frac{{4\left( {\sqrt 5- \sqrt 7 } \right)}}{{3(\sqrt 5- \sqrt {7)} }}\\ = \frac{4}{3} = 1\frac{1}{3}\end{array})$ |
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