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kherson [118]
3 years ago
7

Enter the factor under the radical

ula1" title="(a - b) \sqrt{a - b} " alt="(a - b) \sqrt{a - b} " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
kvasek [131]3 years ago
3 0

\\ \rm\longmapsto (a-b)\sqrt{a-b}

\\ \rm\longmapsto (a-b)(a-b)^{\frac{1}{2}}

\\ \rm\longmapsto (a-b)^{1+\dfrac{1}{2}}

\\ \rm\longmapsto (a-b)^{\dfrac{3}{2}}

irga5000 [103]3 years ago
3 0

Answer:

\dashrightarrow \: { \tt{(a - b) \sqrt{a - b} }} \\  \\ \dashrightarrow \: { \tt{ {(a - b)}^{1}  {(a - b)}^{ \frac{1}{2} } }}

• from law of indices:

{ \boxed{ \rm{ ({x}^{n} )(  {x}^{m} ) =  {x}^{(n + m)} }}}

therefore:

\dashrightarrow \: { \tt{ {(a - b)}^{(1 +  \frac{1}{2} )} }} \\  \\ \dashrightarrow \: { \tt{ {(a - b)}^{ \frac{3}{2} } }}

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