Number Systems ...

Simplify the following using law of exponents for $$a=2, x=1,y=1,z=1$$
$$a^x\times a^y\times a^z$$

Simplify the following using law of exponents.
$$(-3)^3\times (-3)^{10}\times (-3)^7$$

What is the conjugate of the binomial surd $$5 + \sqrt {3}$$

The conjugate of $$3 + \sqrt 5$$ is?

The conjugate of $$\sqrt x - \sqrt y$$ is?

The product of $$\sqrt x + 2\sqrt y$$ with its conjugate is?

$$\dfrac {1}{2} + \sqrt {2}$$ is a conjugate of?

$$3\sqrt {7} + 7\sqrt {3}$$ is a conjugate of?

 The conjugate of the binomial surd $$10\sqrt {2} + 3\sqrt {5}$$ is

What is the rationalizing factor of $$\dfrac {1}{\sqrt2 - 1}$$?