64x664\sqrt{x^6}64x6 - 64×x6\sqrt{64 \times x^6}64×x6 is equal to :
72x3
56x2
128x3
56x3
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64x6−64×x6=64×x3−64×x6=64×x3−8×x3=(64−8)×x3=56×x364\sqrt{x^6} - \sqrt{64 \times x^6}\\[1em] = 64\times x^3 - \sqrt{64} \times \sqrt{x^6}\\[1em] = 64\times x^3 - 8 \times x^3\\[1em] = (64 - 8) \times x^3\\[1em] = 56 \times x^3\\[1em]64x6−64×x6=64×x3−64×x6=64×x3−8×x3=(64−8)×x3=56×x3
Hence, option 4 is the correct option.
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Two numbers are in the ratio 5 : 4. If the difference of their cubes is 61; the numbers are :
5 and 4
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