Find the square root of the following polynomial by division method:

$4x^4+8x^3+8x^2+4x+1$

Find the square root of the polynomial $4+25x^2-12x-24x^3+16x^4$ by division method.

Find the square root of the rational expression.

$\frac{121(a+b{)}^8(x+y{)}^8(b-c{)}^8}{81(b-c{)}^4(a-b{)}^{12}(b-c{)}^4}$

If the square root of  $289x^4-612x^3+970x^2-684x+361$ is $a{x}^2+bx+c$ then find the value of $a+b+c$.

Find the square root of $1+\frac{1}{x^6}+\frac{2}{x^3}$.

Find the square root of $9x^2-24xy+30xz-40yz+25z^2+16y^2$.

Find the square root of $4x^2+20x+25$.

Find the square root of $37x^2-28x^3+4x^4+42x+9$ by division method.

Find the square root of the rational expression:

$\frac{400x^4{y}^{12}{z}^{16}}{100x^8{y}^4{z}^4}$

Find the values of $a$ and $b$ if the polynomial $a{x}^4+b{x}^3+361a{x}^2+220x+100$ is a perfect square.

Find the values of $m$ and $n$ if the expression $x^4-8x^3+m{x}^2+nx+16$ is a perfect square.

Find the square root of $\left(4x^2-9x+2\right)\left(7x^2-13x-2\right)\left(28x^2-3x-1\right)$.

Find the square root of $121x^4-198x^3-183x^2+216x+144$ by division method.

Find the values of $m$ and $n$ if the expression $\frac{1}{x^4}-\frac{6}{x^3}+\frac{13}{x^2}+\frac{m}{x}+n$ is a perfect square.

Find the square root of $16x^4+8x^2+1$ by division method.

Find the square root of the rational expression:

$\frac{7x^2+2\sqrt{14}x+2}{x^2-{\displaystyle \frac{1}{2}}x+\frac{1}{16}}$

Find the square root of $\left(2x^2+\frac{17}{6}x+1\right)\left(\frac{3}{2}{x}^2+4x+2\right)\left(\frac{4}{3}{x}^2+\frac{11}{3}x+2\right)$.