Question

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

Answer 1

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:

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