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Penjelasan dengan langkah-langkah:

$color{cyan}{tt{sqrt{ frac{5.5!}{4!} } }} \ sfsqrt{ frac{5.120}{24} } \ sqrt{ frac{600}{24} } \ sqrt{25} \ sqrt{ {5}^{2} } \ = 5$

Jawaban:

Penjelasan dengan langkah-langkah:

$sqrt{frac{5×5!}{4!}}$

$={(frac{5×5!}{4!})}^{frac{1}{2}}$

$={(frac{5×5×4!}{4!})}^{frac{1}{2}}$

$={(frac{5×5×cancel{4!}}{cancel{4!}})}^{frac{1}{2}}$

$={(5×5)}^{frac{1}{2}}$

$={(25)}^{frac{1}{2}}$

$={({5}^{2})}^{frac{1}{2}}$

$={5}^{2×frac{1}{2}}$

$={5}^{cancel{2}×frac{1}{cancel{2}}}$

=5¹