Question

introduceți factorii sub radical ​

Answer 1

Răspuns:

$\frac{3}{7} \sqrt{3} = \sqrt{ \frac {3 {}^{2} }{7} } \times \sqrt{ \frac{3}{1} } = \sqrt{ \frac{9}{49} } \times \ \ \sqrt{ \frac{3}{1} } = = \sqrt{ \frac{27}{49} }$

$0.(3) \sqrt{21} = \sqrt{ \frac{ {}^{} {}^{} 3 {}^{2} }{9} } \times \sqrt{ \frac{21}{1} } = \sqrt{ \frac{9}{81} } \times \sqrt{ \frac{21}{1} } = \sqrt{ \frac{189}{81} }$

$0.(1) \sqrt{6} = \sqrt{ \frac{1 {}^{2} }{9} } \times \sqrt{ \frac{6}{1} } = \sqrt{ \frac{1}{81} } \times \sqrt{ \frac{6}{1} } = \sqrt{ \frac{6}{81} }$

$- 0.(6) \sqrt{15} = - \sqrt{ \frac{6 {}^{2} }{9} } \times \sqrt{ \frac{15}{1} } = - \sqrt{ \frac{36}{81} } \times \sqrt{ \frac{15}{1} } = - \sqrt{ \frac{540}{81} }$

$0.(4) \sqrt{63} = \sqrt{ \frac{4 {}^{2} }{9} } \times \sqrt{ \frac{63}{1} } = \sqrt{ \frac{16}{81} } \times \sqrt{ \frac{63}{1} } = \sqrt{ \frac{1008}{81} }$

Explicație:

•Pentru a rezolva acest tip de exercițiu,vom aplica formula:

a√b=√a²×b