Question

Calculați, conform modelului:
27-√27"
√√3
3
a
=√√√9=3; b
√18
√√2
с
√100
√√4
;
d
√216
√6
√512
√8
=;
f
√1728
√12

Answer 1

Răspuns:

Explicație pas cu pas:

$b) \: \frac{ \sqrt{18} }{ \sqrt{2} } = \sqrt{ \frac{18 {}^{(2} }{2} } = \sqrt{9} = 3$

$c) \: \frac{ \sqrt{100} }{ \sqrt{4} } = \sqrt{ \frac{100 {}^{(4} }{4} } = \sqrt{25} = 5$

$d) \: \frac{ \sqrt{216} }{ \sqrt{6} } = \sqrt{ \frac{216 {}^{(6} }{6} } = \sqrt{36} = 6$

$e) \: \frac{ \sqrt{512} }{ \sqrt{8} } = \sqrt{ \frac{512 {}^{(8} }{8} } = \sqrt{64} = 8$

$f) \: \frac{ \sqrt{1728} }{ \sqrt{12} } = \sqrt{ \frac{1728 {}^{(12} }{12} } = \sqrt{144} = 12$