Choose the given statement is true/false.The value of a and b: 7+57-5-757+5=a+7511b are 8944 and 54 respectively.

7+57-5-757+5=7+52-757-57-57+5=49+5+145-495+3549-5=89-35544=a+7511b⇒a=8944,b=-54Hence, the given statement is false.

Choose the given statement is true/false.The value of a and b: 7+57-5-757+5=a+7511b are 8944 and 54 respectively.

7+57-5-757+5=7+52-757-57-57+5=49+5+145-495+3549-5=89-35544=a+7511b⇒a=8944,b=-54Hence, the given statement is false.

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Choose the given statement is true/false.

The value of a and b: $\frac{7 + \sqrt{5}}{7 - \sqrt{5}} - \frac{7 \sqrt{5}}{7 + \sqrt{5}} = a + \frac{7 \sqrt{5}}{11} b$ are $\frac{89}{44} and \frac{5}{4}$ respectively.

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\frac{7 + \sqrt{5}}{7 - \sqrt{5}} - \frac{7 \sqrt{5}}{7 + \sqrt{5}} = \frac{{(7 + \sqrt{5})}^{2} - 7 \sqrt{5} (7 - \sqrt{5})}{(7 - \sqrt{5}) (7 + \sqrt{5})} = \frac{49 + 5 + 14 \sqrt{5} - 49 \sqrt{5} + 35}{49 - 5} = \frac{89 - 35 \sqrt{5}}{44} = a + \frac{7 \sqrt{5}}{11} b

\Rightarrow a = \frac{89}{44}, b = - \frac{5}{4}

Hence, the given statement is false.

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Choose the given statement is true/false.The value of a and b: 7+57-5-757+5=a+7511b are 8944 and 54 respectively.

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Choose the given statement is true/false.

The value of a and b: $\frac{7 + \sqrt{5}}{7 - \sqrt{5}} - \frac{7 \sqrt{5}}{7 + \sqrt{5}} = a + \frac{7 \sqrt{5}}{11} b$ are $\frac{89}{44} and \frac{5}{4}$ respectively.