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If a + b = sqrt5 and a - b = sqrt3, then...

If a + b = `sqrt5` and a - b = `sqrt3`, then the value of `a^2 + b^2` is

A

5

B

4

C

3

D

2

Text Solution

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Knowledge Check

  • If a=sqrt(3), b=2 and c=1, then the value of angle A is

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `90^(@)`

  • If in triangle ABC,angle A=60^@ , angle B=45^@ and a=2sqrt3 units then the value of b is

    A
    a)`sqrt2units`
    B
    b)`2sqrt2` units
    C
    c)2 units
    D
    d)`1/sqrt2` units

  • If x=(sqrt5+sqrt3)/(sqrt5-sqrt3) then the value of x^2-8x+8 is

    A
    -10
    B
    0
    C
    7
    D
    15

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    If a = (sqrt5 +1 )/( sqrt5 -1) and b = (sqrt5 -1)/(sqrt5 +1) the find the value of (5a^(2) -3ab + 5b^(2)) (b) If x = (sqrt3 + sqrt2)/(sqrt3 - sqrt2) and y = (sqrt3 -sqrt2)/(sqrt3 + sqrt2) then find the value of (3x^(2) -5xy + 3y^(2)) (c) If x = sqrt3 + sqrt2 and y = sqrt3 -sqrt2 then find the value of (x^(3) + y^(3)) and (x^(3) - y^(3))

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