Rationalise the denominatori 22-2-3-1

The correct option is C 2(2√(3) 1) Multiplying and dividing by 2√( 3 ) 1: 22(2√( 3 ) 1)(12 1)=2(2√( 3 ) 1) ...

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Standard IX

Mathematics

Rationalisation

Rationalise t...

Question

Rationalise the denominator
(i) $\frac{22}{2 \sqrt{3} + 1}$

(2 \sqrt{3} - 1)

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3 (2 \sqrt{3} - 1)

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2 (2 \sqrt{3} - 1)

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4 (2 \sqrt{3} - 1)

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Solution

The correct option is C $2 (2 \sqrt{3} - 1)$
$M u l t i p l y i n g a n d d i v i d i n g b y 2 \sqrt{3} - 1 : \frac{22 (2 \sqrt{3} - 1)}{(12 - 1)} = 2 (2 \sqrt{3} - 1)$

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Simplify:

$(i) {{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}} \div {(\frac{1}{4})}^{- 3} (i i) (3^{2} - 2^{2}) \times {(\frac{2}{3})}^{- 3} (i i i) {(\frac{1}{2}) \times (- 4)^{- 1}}^{- 1} (i v) {[{{(\frac{- 1}{4})}^{2}}^{- 2}]}^{- 1} (v) {{(\frac{2}{3})}^{2}}^{3} \times {(\frac{1}{3})}^{- 4} \times 3^{- 1} \times 6^{- 1}$

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Rationalise the denominator(i) 222√3+1

The correct option is C 2(2√3−1)Multiplyinganddividingby2√3−1:22(2√3−1)(12−1)=2(2√3−1)

Rationalise the denominator
(i) $\frac{22}{2 \sqrt{3} + 1}$

The correct option is C $2 (2 \sqrt{3} - 1)$
$M u l t i p l y i n g a n d d i v i d i n g b y 2 \sqrt{3} - 1 : \frac{22 (2 \sqrt{3} - 1)}{(12 - 1)} = 2 (2 \sqrt{3} - 1)$