Advertisements
Advertisements
Question
Find the square root of the following
9x2 – 24xy + 30xz – 40yz + 25z2 + 16y2
Advertisements
Solution
`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
RELATED QUESTIONS
Find the square root of the following rational expression
`(121("a" + "b")^8 (x + y)^8 ("b" - "c")^8)/(81("b" - "c")^4 ("a" - "b")^12 ("b" - "c")^4)`
Find the square root of the following
(4x2 – 9x + 2)(7x2 – 13x – 2)(28x2 – 3x – 1)
Find the square root of the following polynomials by division method
37x2 – 28x3 + 4x4 + 42x + 9
Find the values of a and b if the following polynomial is a perfect square
ax4 + bx3 + 361x2 + 220x + 100
Find the values of m and n if the following polynomial is a perfect square
x4 – 8x3 + mx2 + nx + 16
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
If the roots of the equation q2x2 + p2x + r2 = 0 are the squares of the roots of the equation qx2 + px + r = 0, then q, p, r are in __________
Solve `sqrt(y + 1) + sqrt(2y - 5)` = 3
