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Mathematics
17.08.2021 23:22
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Is sqrt(25a^2/4) the same as sqrt(25a^2)/sqrt(4)?

Is sqrt(25a^2/4) the same as sqrt(25a^2)/sqrt(4)?
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Yomarie1104
Yomarie1104
4,8(30 marks)
LHS\\ \\ =\sqrt { \frac { 25{ a }^{ 2 } }{ 4 } } \\ \\ ={ \left( \frac { 25{ a }^{ 2 } }{ 4 } \right) }^{ \frac { 1 }{ 2 } }

\\ \\ =\frac { { \left( 25{ a }^{ 2 } \right) }^{ \frac { 1 }{ 2 } } }{ { 4 }^{ \frac { 1 }{ 2 } } } \\ \\ =\frac { \sqrt { 25{ a }^{ 2 } } }{ \sqrt { 4 } } \\ \\ =RHS
fay1016
fay1016
4,7(7 marks)
Yes, because \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt a}{\sqrt b}
yairreyes01
yairreyes01
5,0(79 marks)
B, \frac{4}{7}. 16 and 28 have a GCF of 4. 16÷4=4  28÷4=7. Convert those quotients to a fraction and you get, \frac{4}{7}

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