Here, we show you a step-by-step solved example of quotients spéciaux. This solution was automatically generated by our smart calculator:
Simplify $\sqrt{m^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Apply the formula: $1x$$=x$, where $x=n^2$
Simplify $\sqrt{n^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Apply the formula: $1x$$=x$, where $x=n^2$
Simplify $\sqrt{m^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Simplify $\sqrt{n^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Factor the difference of squares $m^2-n^2$ as the product of two conjugated binomials
Apply the formula: $\frac{a}{a}$$=1$, where $a=m+n$ and $a/a=\frac{\left(m+n\right)\left(m-n\right)}{m+n}$
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