If x-\sqrt{x} = 13, find the value of x-\dfrac{13}{\sqrt{x} }

Evaluate the expression: 4a^2-4ab+b^2, when a = 2 and b = 5

When each side of a square with side s is lengthened by 2 inches, which of the following represents the increase, in square inches, of the area of the square?

If x = \dfrac{\sqrt{2019} +1 }{2}

Find the value of

(4x^3 - 2022x-2019)^{2022}

If a^2-3a + 1 = 0, (a\ne 0 ), then the value of a^2 + \dfrac{1}{a^2} is

If a = \dfrac{\sqrt{101} +1 }{2}

find the value of (a^3-26a-23)^7

If x,y are real numbers such that x^4+x^2=3,y^4-y^2=3．

Find the value of x^4+y^4．

Value of 69^5+5\times 69^4+10\times 69^3+10\times 69^2+5\times69+1

If x+y=1 , x^2+y^2=3 , find the value of x^3+y^3

If a=-\dfrac{29}{37} , b=-\dfrac{45}{37} , find the value of a^3-6ab+b^3

If x + \dfrac{1}{x} = \dfrac{5}{2}, what is the value of the fraction expression

\dfrac{{5x}}{{7{x^2} - 3x + 7}}

x = \sqrt{11-2yz}, y=\sqrt{12-2xz},z = \sqrt{13-2xy}

The value of x+y+z is

If x+y+z=1, x^2+y^2+z^2=2, x^3+y^3+z^3=3,

find the value of x^4+y^4+z^4

Find the value of

\dfrac{1}{2+\sqrt{2}}+\dfrac{1}{3\sqrt{2}+2\sqrt{3}}+\dfrac{1}{4\sqrt{3}+3\sqrt{4}}+\dfrac{1}{100\sqrt{99}+99\sqrt{100}}

1/(2+sqrt(2))+1/(3sqrt(2)+2sqrt(3))+1/(4sqrt(3)+3sqrt(4))+...+1/(100sqrt(99)+99sqrt(100))

If x , y are real numbers such that \big( x+\sqrt{1+x^2}\big) \big( y+\sqrt{1+y^2} \big) =1 , find the value of (x+y)^2