Bentuk sederhana dari: - Universityku

$(frac{1}{2} sqrt{3} times frac{3}{sqrt{10} }) - (frac{1}{2} times frac{1}{sqrt{10} } )$

Bantuuuuuuu T_T

Bentuk sederhana dari:

Jawaban:

$frac{1}{20} (3 sqrt{30} - sqrt{10})$

Penjelasan dengan langkah-langkah:

$left( frac{1}{2} sqrt{3} times frac{3}{ sqrt{10} } right) - left( frac{1}{2} times frac{1}{ sqrt{10} } right) \ = frac{3 sqrt{3} }{2 sqrt{10} } - frac{1}{2 sqrt{10} } \ = frac{3 sqrt{3} - 1 }{2 sqrt{10} } \ = frac{3 sqrt{3} - 1 }{2 sqrt{10} } times frac{2 sqrt{10} }{2 sqrt{10} } \ = frac{6 sqrt{30} - 2 sqrt{10} }{40} \ = frac{3 sqrt{30} - sqrt{10} }{20} \ = color{red}{ boxed{ color{black}{frac{1}{20} (3 sqrt{30} - sqrt{10}) }}}$