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Find the values of a and b if 6/(3sqrt2...

Find the values of `a` and `b` if `6/(3sqrt2-2sqrt3)=asqrt2-bsqrt3`

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The correct Answer is:
a = - 2
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Find the value of a and b if (7+3sqrt(5))/(3+sqrt(5))-(7-3sqrt(5))/(3-sqrt(5)) =a + bsqrt(5)

(2+sqrt(3))/(2-sqrt(3))=a+bsqrt(3)

The following are the steps involved in finding the value of a+b from (2+sqrt(3))/(2-sqrt(3))=a+bsqrt(3) . Arrange them in sequential order. (A) (2^(2)+(sqrt(3))^(2) + 2xx2xxsqrt(3))/(2^(2)-(sqrt(3))^(2))=a+bsqrt(3) (B) a+b=7+4=11 (C) ((2+sqrt(3))(2+sqrt(3)))/((2-sqrt(3))(2+sqrt(3)))=a+bsqrt(3) (D) (7+4sqrt(3))/(4-3)=a+bsqrt(3) (E) a=7 and b=4

If sqrt(2) = 1.414, sqrt(3) = 1.732, sqrt(5) = 2.236 and sqrt(6) = 2.449 , find the value of (2+sqrt(3))/(2-sqrt(3)) +(2-sqrt(3))/(2+sqrt(3)) +(sqrt(3) -1)/(sqrt(3) +1)

CBSE COMPLEMENTARY MATERIAL-NUMBER SYSTEMS-Part - C
  1. Represent following on number line (i)sqrt(5) (ii) sqrt(3) (iii...

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  2. Insert two irrational numbers between (2)/(3) and (3)/(2)

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  3. Simplify: (sqrt(5)+sqrt(3))/(sqrt(80)+sqrt(48)-sqrt(45)-sqrt(27))

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  4. Find the value of [1^3+2^3+3^3+8^2]^(-5/2)

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  5. Find the value of x if x^(1//2) = (36)^(0.5)

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  6. Find the value of x if (sqrt(3))^(x) = 3^(7)

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  7. If 2^(5x)-:2^x=root(5)32. Then find the value of x.

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  8. Evaluate a^(x - y), a^(Y - z), a^(z - x)

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  9. Simplify 12^((2)/(5)). 5^((2)/(5))

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  10. Which of the following rational numbers will have terminating decimal ...

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  11. Classify the following numbers as terminating decimal or non-terminati...

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  12. Classify the following numbers as rational or irrational number: (i)...

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  13. Express the following numbers in the form (p)/(q) where p and q are in...

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  14. Do as directed: (i) Add : sqrt(125 + 2 sqrt(27) and - 5 sqrt(5) - sq...

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  15. Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3)) (ii...

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  16. Evaluate : (i) (2^(38) + 2^(37) + 2^(36))/(2^(39) + 2^(38) + 2^(37))...

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  17. Find the values of a and b if 6/(3sqrt2-2sqrt3)=asqrt2-bsqrt3

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  18. (5(8^(1//3)+27^(1//3))^(3))^(1//4)=

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  19. Simplify : ((25)^(3/2)x(243)^(3/5))/((16)^(5/4)x(8)^(4/3)) (ii) (16x2...

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  20. If 5^(2x-1)-(25)^(x-1)=2500 then find x

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