If √7 = 2.646, find without using calculator, the value of √0.0007​

Question

If √7 = 2.646, find without using calculator,
the value
of
√0.0007​

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Calantha 4 years 2021-08-01T04:13:37+00:00 1 Answers 63 views 0

Answers ( )

  1. kimcuc
    0
    2021-08-01T04:15:22+00:00
    Reply

    Answer:

    √0.0007​ = 0.02646

    Step-by-step explanation:

    We know that:

    √7 = 2.646

    We want to find the value of:

    √0.0007

    Also we know the relations:

    \frac{\sqrt{x} }{\sqrt{y} } = \sqrt{\frac{x}{y} }

    Then:

    \sqrt{0.0007} = \sqrt{\frac{7}{10,000} }

    We can rewrite this as:

    \sqrt{\frac{7}{10,000} } = \frac{\sqrt{7} }{\sqrt{10,000} } = \frac{2.646}{100} = 0.02646

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