If 5 - -3-2 - -3- x - y -3- then-

The correct option is B x = 13, y = 7 5 √(3)/2 + √(3)×2 √(3)/2 √(3) = x + y √(3) 5(2 √(3)) √(3)(2 √(3))/(2)^2 (√(3))^2 = x + y √(3) 10 5√(3) 2√(3)+3/4 ...

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Byju's Answer

Standard IX

Mathematics

Operations on Binomial Surds

If 5 - √3/2 +...

Question

$If \frac{5 - \sqrt{3}}{2 + \sqrt{3}} = x + y \sqrt{3}$ , then___________.

$x = - 13, y = 7$

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$x = 13, y = - 7$

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$x = 13, y = 7$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$x = - 13, y = - 7$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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Solution

The correct option is B
$x = 13, y = - 7$

$\frac{5 - \sqrt{3}}{2 + \sqrt{3}} \times \frac{2 - \sqrt{3}}{2 - \sqrt{3}} = x + y \sqrt{3}$

$\frac{5 (2 - \sqrt{3}) - \sqrt{3} (2 - \sqrt{3})}{(2)^{2} - (\sqrt{3})^{2}} = x + y \sqrt{3}$

$\frac{10 - 5 \sqrt{3} - 2 \sqrt{3} + 3}{4 - 3} = x + y \sqrt{3}$

$13 - 7 \sqrt{3} = x + y \sqrt{3}$

$x = 13, y = - 7$

Suggest Corrections

Similar questions

Q. If

\frac{5 - \sqrt{3}}{2 + \sqrt{3}} = x + y \sqrt{3}

, then

(a) x = 13, y = −7

(b) x = −13, y = 7

(c) x = −13, y = −7

(d) x = 13, y = 7

Q. If

(x + i y) (2 - 3 i) = 4 + i

, then values of

x

and

y

are

Q. Subtract

2 x + 9 z - 2 x y

from the sum of

9 x - 7 x y + 12 y + 6 z

and

6 x - 12 y + 3 z

Q. Solve:

\frac{2}{x} + \frac{3}{y} = 13

\frac{5}{x} + \frac{7}{y} = 31

Which of the following pair of algebraic expression will add up to give 12xy - 7?

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If 5−√32+√3=x+y√3, then___________.

The correct option is B x=13,y=−7 5−√32+√3×2−√32−√3=x+y√3 5(2−√3)−√3(2−√3)(2)2−(√3)2=x+y√3 10−5√3−2√3+34−3=x+y√3 13−7√3=x+y√3 x=13,y=−7

$If \frac{5 - \sqrt{3}}{2 + \sqrt{3}} = x + y \sqrt{3}$ , then___________.