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 $\sqrt{10} = 3.162$
$\frac{3}{\sqrt{10}}$

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Solution

Given that:-
$\sqrt{2} = 1.414$
$\sqrt{3} = 1.732$
$\sqrt{5} = 2.236$
$\sqrt{10} = 3.162$
$∴ \frac{3}{\sqrt{10}} = \frac{3}{3.162} = 0.9487666 \approx 0.949$
Hence, the correct answer is $0.949$ .

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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 $\sqrt{10} = 3.162$ .

(i) $\frac{2}{\sqrt{3}}$

(ii) $\frac{3}{\sqrt{10}}$

(iii) $\frac{\sqrt{5} + 1}{\sqrt{2}}$

(iv) $\frac{\sqrt{10} + \sqrt{15}}{\sqrt{2}}$

(v) $\frac{2 + \sqrt{3}}{3}$

(vi) $\frac{\sqrt{2} - 1}{\sqrt{5}}$

Q. Find the value to three places of decimals .It is given that root2=1.414,root3=1.732,root10=3.162 and root5=2.236.Then find root10-root5/root2?

Q. Rationalise the denominator in each of the following and hence evaluate by taking

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

and

\sqrt{5} = 2.236

, upto three places of decimal. :

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

Q. It being given that

\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236 and \sqrt{10} = 3.162

, find the value of three places of decimals, of each of the following.
(i)

\frac{2}{\sqrt{5}}

(ii)

\frac{2 - \sqrt{3}}{\sqrt{3}}

(iii)

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

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Find the value to three places of decimals of each of the following. It is given that √2=1.414,√3=1.732,√5=2.236 and √10=3.1623√10

Given that:-√2=1.414√3=1.732√5=2.236√10=3.162∴3√10=33.162=0.9487666≈0.949Hence, the correct answer is 0.949.

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 $\sqrt{10} = 3.162$
$\frac{3}{\sqrt{10}}$

Given that:-
$\sqrt{2} = 1.414$
$\sqrt{3} = 1.732$
$\sqrt{5} = 2.236$
$\sqrt{10} = 3.162$
$∴ \frac{3}{\sqrt{10}} = \frac{3}{3.162} = 0.9487666 \approx 0.949$
Hence, the correct answer is $0.949$ .