Operations on Real Numbers

In the given equation, find whether variables $x, y, z$ etc. represent rational or irrational numbers

$t^4=256$

In the equation, $w^2=27$, state whether variable $w$ represents "Rational Number" or "Irrational Number".

In the given equation, find whether variables $\mathrm{x}, \mathrm{y}, \mathrm{z}$ etc. represent rational or irrational numbers

$u^2=\frac{17}{4}$

In the equation $z^2=0.02$, state whether variable $z$ represents "Rational Number" or "Irrational Number".

In the equation $y^2=16$, state whether variable $y$ represents "Rational Number" or "Irrational Number".

In the given equation, find whether variable $\mathrm{x}, \mathrm{y}, \mathrm{z}$ etc. represent rational or irrational numbers

$x^2=7$

Classify the number $(2+\sqrt{2})(2-\sqrt{2})$ as "Rational" or "Irrational".

Classify $\frac{1}{\sqrt{3}}$ as Rational Number or Irrational Number.

Classify $2\pi$ as Rational Number or Irrational Number.

Classify the number $\frac{2\sqrt{7}}{7\sqrt{7}}$ as "Rational" or "Irrational".

Classify the number $(\sqrt{2}-2{)}^2$ as "Rational" or "Irrational".

Classify the following number as rational or irrational.

$\sqrt{3}+\sqrt{2}$

Classify the following number as rational or irrational.

$5-\sqrt{3}$

Simplify: ${\left(343\right)}^{\frac{1}{3}}$

Simplify: ${\left(128\right)}^{\frac{1}{7}}$

Simplify: ${\left(16\right)}^{\frac{1}{2}}$

If the smallest rationalising factor of the denominator of $\frac{1}{\sqrt{8}}=\frac{\sqrt{2}}{k}$, then find the value of $k$.

If the rationalising factor of the denominator of $\frac{3}{\sqrt{5}}=\frac{3\sqrt{k}}{5}$, then find the value of $k$.

If $\frac{1}{2\sqrt{3}}=\frac{\sqrt{k}}{6}$, then find the value of $k$.

Find: $(46656{)}^{\frac{-1}{6}}$