Algebra

Simplify \(b^{m/n}\)

Find the value of \(x\) which will satisfy the following expression: \(\sqrt{x-2}=\sqrt{x}+2\)

Simplify \(\sqrt{\frac{ab}{\sqrt[3]{ab}}}\)

If \(x\) to the \(3/4\) power equals \(8\), \(x\) equals

Solve for \(x\): \(\sqrt{x+2\sqrt{2x+3}}-3=0\)

Solve for \(x\) from the given equation:
\(\sqrt[4]{8\sqrt[3]{2\sqrt{8x}}}=2\)

If \(f(x)=2x^2+2x+4\), what is \(f(2)\)?

If \(n\) is any positive integer, then \((n-1)(n-2)(n-3)\dots(3)(2)(1)\) =

What is the least common multiple of \(15\) and \(18\)?

What is the lowest common factor of \(10\) and \(32\)?

The numbers \(12\) and \(16\) has the greatest common divisor of

The polynomial \(x^3+4x^2-3x+8\) is divided by \(x-5\) then the remainder is,

Find the quotient of \(3x^5-4x^3+2x^2+36x+48\) divided by \(x^3-2x^2+6\).

Find the remainder if we divide \(4y^3+18y^2+8y-4\) by \((2y+3)\).

Given: \(f(x)=(x+3)(x-4)+4\). When \(f(x)\) is divided by \((x-k)\), the remainder is \(k\). Find \(k\).

The expression \(x^4+ax^3+5x^2+bx+6\) when divided by \((x-2)\) leaves a remainder of \(16\) and when divided by \((x+1)\) leaves a remainder of \(10\). Find \(a\) and \(b\).

The mean of \(x\) and \(y\) is \(a\), the mean of \(y\) and \(z\) is \(b\) and the mean of \(x\) and \(z\) is \(c\). What is the mean of \(x, y\) and \(z\)?

Find the mean proportional of \(4\) and \(36\).

The arithmetic mean of \(80\) numbers is \(55\). If two numbers namely \(250\) and \(850\) are removed, what is the arithmetic mean of the remaining numbers?

The arithmetic mean of \(6\) numbers is \(17\). If two numbers are added to the progression, the new set of numbers will have an arithmetic mean of \(19\). What are the two numbers if their difference is \(4\)?