Using -3- 1-732- find -3-4 correct to three decimals-

≈ 1.732 ⇒ = 0.866 ∴ is approximately equal to 0.866. nbsp; ...

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Standard IX

Mathematics

Decimal Expansion of Rational and Irrational Numbers

Using √3≈ 1.7...

Question

Using correct to three decimals.

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Solution

≈ 1.732

⇒

= 0.866

∴ is approximately equal to 0.866.

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Similar questions

Using correct to three decimals.

Find the values of each of the following correct to three places of decimals, it being given that $\sqrt{2} = 1.4142, \sqrt{3} = 1.732, \sqrt{5} = 2.2360, \sqrt{6} = 2.4492 a n d \sqrt{10} = 3.162$ .

(i) $\frac{3 - \sqrt{5}}{3 + 2 \sqrt{5}}$

(ii) $\frac{1 + \sqrt{2}}{3 - 2 \sqrt{2}}$

Find the value to three places of decimals of each of the following. It is given that

\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236

and

\sqrt{10} = 3.162

\frac{2 + \sqrt{3}}{3}

Q. Find the value of

\frac{\sqrt{10} - \sqrt{15}}{2 \sqrt{5}}

upto three decimal places. (take

\sqrt{2} = 1.414

and

\sqrt{3} = 1.732

)

The height of an equilateral triangle measures $9$ cm. Find its area, correct to $2$ places of decimal. Take $3 = 1.732$ .

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