Question

${\bold}What\:is\:the\:square\:root\:of\:0.57.$​

Answer 1

Question :-

• Find the square root of $0.57$

Solution :-

• Step:1

Change the decimal into fraction

$0.57 = \frac{57}{100}$

• Step :2

Now take square root.

$\sqrt{ \frac{57}{100} }$

Now apply the property of radicals in the numerator.

Formula-

$\sqrt{ab} = \sqrt{a} \times \sqrt{b}$

Hence,

$\sqrt{ \frac{57}{100} } = \frac{ \sqrt{19} \times \sqrt{3} }{ \sqrt{100} }$

• Step :3

Calculate the approximate values of

$\sqrt{19} = 4.36 \: \: \: and \: \: \: \sqrt{3} = 1.73$

So,

$\sqrt{ \frac{57}{100} } = \frac{4.36 \times 1.73}{10}$

$\sqrt{ \frac{57}{100} } = \frac{7.54}{10} = 0.75 \: \: \: \: ans$

Answer 2

☆⬆SOLUTION⬆☆

REFER TO THE ATTACHMENT ✅✅

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