Value of the expression- 1-11-2-30-3-7-2-10-4-8-4-3

The correct option is D 0 =1/√(6) √(5) 3/√(5) √(2) 4/√(6)+√(2) =√(6)+√(5) √(5) √(2) √(6)+√(2)=0 ...

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Byju's Answer

Standard XII

Mathematics

Rationalization Method to Remove Indeterminate Form

Value of the ...

Question

Value of the expression:
$\frac{1}{\sqrt{11 - 2 \sqrt{30}}} - \frac{3}{\sqrt{7} - 2 \sqrt{10}} - \frac{4}{\sqrt{8 - 4 \sqrt{3}}}$

\sqrt{30}

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2 \sqrt{10}

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1

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0

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Solution

The correct option is D $0$
$= \frac{1}{\sqrt{6} - \sqrt{5}} - \frac{3}{\sqrt{5} - \sqrt{2}} - \frac{4}{\sqrt{6} + \sqrt{2}}$
$= \sqrt{6} + \sqrt{5} - \sqrt{5} - \sqrt{2} - \sqrt{6} + \sqrt{2} = 0$

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Similar questions

Q. The value of the expression

\frac{1}{\sqrt{11 - 2 \sqrt{30}}} - \frac{3}{\sqrt{7 - 2 \sqrt{10}}} - \frac{4}{\sqrt{8 + 4 \sqrt{3}}}

after simplification is

Q. Find the values of the following:

(1) 11³
(2) (–5)²
(3) (–3)³
(4) 10⁷
(5) 2⁴
(6)

{(\frac{2}{3})}^{5}

(7)

{(- \frac{1}{5})}^{4}

(8) 2⁸
(9) (–1)⁸
(10) (–1)⁹

Q. Find the value of:

(1) 3⁶
(2) 6³
(3) 2⁶
(4) 1⁸
(5) 5⁴
(6) 4³
(7) 10⁵
(8) 10⁷
(9) 7⁴
(10) 8²

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$