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Rationalisation

If √2=1.41 th...

Question

If $\sqrt{2} = 1.41$ then $\frac{1}{\sqrt{2}} = ?$

(a) $0.075$ (b) $0.75$ (c) $0.705$ (d) $7.05$

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Solution

The correct option is (c): $0.705$
Given: $\sqrt{2} = 1.41$
$\frac{1}{\sqrt{2}} = \frac{1 \times \sqrt{2}}{\sqrt{2} \times \sqrt{2}}$ [On Rationalising ]
$= \frac{\sqrt{2}}{2}$
$= \frac{1.41}{2} = 0.705$

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Similar questions

\sqrt{2} = 1.41

\frac{1}{\sqrt{2}}

=?
(a) 0.075
(b) 0.75
(c) 0.705
(d) 7.05

\sqrt{2} = 1.41 then \frac{1}{\sqrt{2}} = ?

(a) 0.075
(b) 0.75
(c) 0.705
(d) 7.05

Q. If a semiconductor has an intrinsic carrier concentration of

\frac{1.41 \times 10^{16}}{m^{3}}

when doped with

\frac{10^{21}}{m^{3}}

phosphorous atoms, then the concentration of holes per cubic meter at room temperature will be

x - 1.41 \sqrt{x} = 1

Then find the value of

x

\sqrt{2} = 1.41 and \sqrt{5} = 2.24

, find the value of

\frac{3}{(8 \sqrt{2} + 5 \sqrt{5})} + \frac{2}{(8 \sqrt{2} - 5 \sqrt{5})}

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