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Mathematics

If 27.8=5.27\sqrt{27.8} = 5.27; the value of 2780\sqrt{2780} is:

  1. 527

  2. 52.7

  3. 0.527

  4. none of the above

Sq & Sq Roots

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Answer

If 27.8=5.27\sqrt{27.8} = 5.27, then

2780=27.8×100=1027.8=10×5.27=52.7\sqrt{2780}\\[1em] = \sqrt{27.8 \times 100}\\[1em] = 10\sqrt{27.8}\\[1em] = 10 \times 5.27\\[1em] = 52.7

Hence, option 2 is the correct option.

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