By how much does 5-7-2-5 exceeds 3-7-4-5-

The correct option is B 2(√(7)+√(5)) (5√(7) 2√(5)) (3√(7) 4√(5)) =(5√(7) 2√(5) 3√(7)+4√(5)) =2√(7)+2√(5) =2(√(7)+√(5)) ...

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Operations on Rational and Irrational Numbers

By how much d...

Question

By how much does $(5 \sqrt{7} - 2 \sqrt{5})$ exceeds $(3 \sqrt{7} - 4 \sqrt{5})$ ?

5 (\sqrt{7} + \sqrt{5})

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\sqrt{7} + \sqrt{5}

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2 (\sqrt{7} + \sqrt{5})

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7 (\sqrt{2} + \sqrt{5})

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Solution

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{(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{- 4}})}^{7 / 2} \times {(\frac{5^{2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{- 5 / 2}

7

5

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7^{'} s

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{(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{4}})}^{\frac{7}{2}} \times {(\frac{5^{- 2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{\frac{- 5}{2}}

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