Question

e) √25x¹²

f) √49m¹⁸

g) √9a⁴b²

h) √9x²y²

i)√16x²​

Answer 1

Resposta:

e)

$\sf{√25x¹²}$

$\sf{ \sqrt{ {5}^{2} } } \: {x}^{12}$

$\rightarrow \boxed{ \boxed{\sf{5 {x}^{12} }}} \checkmark$

f)

$\sf{√49m¹⁸}$

$\sf{ \sqrt{49} \sqrt{m {}^{18} } }$

$\sf{ \sqrt{ {7}^{2} } \sqrt{m {}^{18} } }$

$\sf{ \sqrt{ {7}^{2} } }m {}^{9}$

$\rightarrow \boxed{ \boxed{\sf{7m {}^{9} }}} \checkmark$

g)

$\sf{√9a⁴b²}$

$\sf{ \sqrt{9 \sqrt{a {}^{4} } } } \sqrt{b {}^{2} }$

$\sf{ \sqrt{ {3}^{2} } \sqrt{ {a}^{4} } } \sqrt{ {b}^{2} }$

$\sf{ \sqrt{ {3}^{2} } } {a}^{2} \sqrt{ {b}^{2} }$

$\sf{ \sqrt{ {3}^{2} } } {a}^{2} b$

$\rightarrow \boxed{ \boxed{\sf{3 {a}^{2} b}}} \checkmark$

h)

$\sf{√9x²y²}$

$\sf{ \sqrt{9} } \sqrt{ {x}^{2} } \sqrt{ {y}^{2} }$

$\sf{ \sqrt{ {3}^{2} } } \sqrt{ {x}^{2} } \sqrt{ {y}^{2} }$

$\sf{ \sqrt{ {3}^{2} } } \: x \sqrt{ {y}^{2} }$

$\sf{ \sqrt{ {3}^{2} } } \: xy$

$\rightarrow \boxed{ \boxed{\sf{3xy}}} \checkmark$

i)

$\sf{√16x²}$

$\sf{ \sqrt{16} } \sqrt{ {x}^{2} }$

$\sf{ \sqrt{ {4}^{2} } } \sqrt{ {x}^{2} }$

$\sf{ \sqrt{ {4}^{2} } } \: x$

$\rightarrow \boxed{ \boxed{\sf{4x}}} \checkmark$

Explicação passo-a-passo:

(espero ter colaborado)