The value of ${√{80} - √{112}}/{√{45} - √{63}}$ is : Options: A . &nbsp$1{3}/4$ B . &nbsp1$1/3$ C . &nbsp$3/4$ D . &nbsp1$7/9$

The value of ${√{80} - √{112}}/{√{45}

Question

The value of ${√{80} - √{112}}/{√{45} - √{63}}$ is :

Options:

A . $1{3}/4$

B . 1$1/3$

C . $3/4$

D . 1$7/9$

Answer: Option B
Answer: (b)${√{80} - √{112}}/{√{45} - √{63}}$= ${√{16 × 5} - √{16 × 7}}/{√{9 × 5} - √{9 × 7}}$= ${4√{5} - 4√{7}}/{3√{5} - 3√{7}} = {4(√{5} - √{7})}/{3(√{5} - √{7})$= $4/3 = 1{1}/3$

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