Question

5. Transforme em um produto de radicais:
a) √7.13
b) √2².3
c) √x^7.y^3
d) √3.5​

Answer 1

$a) \sqrt{7} \times \sqrt{13} \\ b) \: \sqrt{4} \times 3 \: ou \: \sqrt{2 \times 2} \times \sqrt{3} \\ c) \: \sqrt{ {x}^{7} } \times \sqrt{ {y}^{3} } \\ d) \: \sqrt{3} \times \sqrt{5}$

Answer 2

a)

$\boxed{\boxed{\mathsf{\sqrt{7.13}=\sqrt{7}.\sqrt{13}}}}$

b)

$\boxed{\boxed{\mathsf{\sqrt{{2}^{2}. 3}=\sqrt{{2}^{2}}.\sqrt{3}}}}$

c)

$\boxed{\boxed{\mathsf{\sqrt{{x}^{7}.{y}^{3}} =\sqrt{{x}^{7}}. \sqrt{{y}^{3}}}}}$

d)

$\boxed{\boxed{\mathsf{\sqrt{3.5}=\sqrt{3}.\sqrt{5}}}}$