Embibe Experts Solutions for Chapter: Simplification and Approximation, Exercise 1: Exercise

If $a^2+b^2+c^2+3=2\left(a+b+c\right)$ then, find the value of $\left(\frac{a+b}{ca}\right)$.

$2\sqrt{3}+\sqrt{3}-3\sqrt{3}+\sqrt{12}$ is equal to _____

What value will come in place of question mark $(?)$ in the following questions?

$11.6+9.28÷0.464-0.2828÷0.07=?$

What should come in place of the question mark $\left(?\right)$ in the following question?

$\frac{0.144}{0.012}=?$

If $x=\frac{\sqrt{3}-1}{\sqrt{3}+1}$, then the value of $x+\frac{1}{x}$ is:

If $\text{'}+\text{'}$ means $\text{'}÷\text{'}$, $\text{'}\times \text{'}$ means $\text{'}–\text{'}$, $\text{'}÷\text{'}$ means $\text{'}\times \text{'}$ and $\text{'}–\text{'}$ means $\text{'}+\text{'}$, what will be the value of the following expression?

$9+3÷4-8\times 2=?$

If $y+\frac{1}{z}=1, x+\frac{1}{y}=1$ then, find the value of $xyz$.

The value of ${\cos }^2\frac{\mathrm{\pi }}{16}+{\cos }^2\frac{3\mathrm{\pi }}{16}+{\cos }^2\frac{5\mathrm{\pi }}{16}+{\cos }^2\frac{7\mathrm{\pi }}{16}$ is: