Advertisements
Advertisements
प्रश्न
Find the square root of the following
9x2 – 24xy + 30xz – 40yz + 25z2 + 16y2
उत्तर
`sqrt(9x^2 - 24xy + 30xz - 40yz + 25z^2 + 16y^2)`
= `sqrt((3x)^2 + (4y)^2 + (5z)^2 - 2(3x)(4y) - 2(4y)(5z) + 2(3x)(5z))`
= `sqrt((3x - 4y + 5z)^2` ...[using (a – b + c)2 = a2 + b2 + c2 – 2ab – 2bc + 2ac]
= |3x – 4y + 5z|
APPEARS IN
संबंधित प्रश्न
Find the square root of the following rational expression
`(400x^4y^12z^16)/(100x^8y^4z^4)`
Find the square root of the following rational expression
`(7x^2 + 2sqrt(14)x + 2)/(x^2 - 1/2 x + 1/16)`
Find the square root of the following
4x2 + 20x + 25
Find the square root of the following polynomials by division method
37x2 – 28x3 + 4x4 + 42x + 9
Find the square root of the following polynomials by division method
121x4 – 198x3 – 183x2 + 216x + 144
Find the values of m and n if the following polynomial is a perfect square
`1/(x^4) - 6/(x^3) + 13/(x^2) + "m"/x + "n"`
The square root of `(256x^8y^4z^10)/(25x^6y^6z^6)` is equal to
Which of the following should be added to make x4 + 64 a perfect square
Find the square root of 289x4 – 612x3 + 970x2 – 684x + 361
Solve `sqrt(y + 1) + sqrt(2y - 5)` = 3
