A K Upadhyay and S Upadhyay Solutions for Chapter: Number System, Exercise 2: EXERCISE 1.2

Find the value of $x$ in the following
$\sqrt[3]{2x-1}-3=0$

Simplify
$4\sqrt{2}-2\sqrt{8}+\frac{3}{\sqrt{2}}$

Simplify
$\sqrt{48}-\sqrt{72}-\sqrt{12}+2\sqrt{18}$

Simplify
$\sqrt[3]{135}-\sqrt[3]{192}+\sqrt[3]{375}-\sqrt[3]{3}+\sqrt[3]{625}$

Simplify
$\sqrt[4]{16}-6\sqrt[3]{343}+18\sqrt[5]{243}-\sqrt{196}$

If $a=2, b=3$ then find the value of the following:
${\left(a^b+b^a\right)}^{-1}$

If $a=2, b=3$ then find the value of the following:
${\left(a^a+b^b\right)}^{-1}$

If $x=2^y$ and $\frac{9\times 3^{2x}-3^x\times 3^{x-2}}{2}=360$, find the value of $y.$