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Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) ...

Simplify:
(i) `(2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3))` (ii) `(2 sqrt(8) - 3 sqrt(2))^(2)`
(iii) `(sqrt(7) + sqrt(6))^(2)` (iv) `(6 - sqrt(2))(2 + sqrt(3))`

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Verified by Experts

The correct Answer is:
(i) -19 (ii) 0 (iii) `13 + 2 sqrt(42)`
(iv) `12 + 6 sqrt(3) - 2 sqrt(2) - sqrt(6)`
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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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