Tolong bantu buat besok

Tolong bantu buat besok

Penjelasan dengan langkah-langkah:

$1)10 sqrt{2} + 2 sqrt{12} \ = 10 sqrt{2} + 2 sqrt{4(3)} \ = 10 sqrt{2} + 2(2) sqrt{3} \ = 10 sqrt{2} + 4 sqrt{3}$

$2) sqrt{ sqrt{ sqrt{ {a}^{8} } } } \ = sqrt{ sqrt{ {a}^{4} } } \ = sqrt{ {a}^{2} } \ = a$

$3)( sqrt{7} - sqrt{28} ) ^{2} \ = ( sqrt{7} - 2 sqrt{7} ) ^{2} \ = ( { - sqrt{7} })^{2} = - 7$

$4a) frac{12}{ sqrt{7} + sqrt{3} } times frac{ sqrt{7} - sqrt{3} }{ sqrt{7} - sqrt{3} } \ = frac{12( sqrt{7} - sqrt{3} )}{7 - 3} = frac{12}{4} ( sqrt{7} - sqrt{3} )$

$= 3( sqrt{7} - sqrt{3} ) \ = 3 sqrt{7} - 3 sqrt{3}$

$4b) frac{3 sqrt{2} - sqrt{3} }{ sqrt{6} } times frac{ sqrt{6} }{ sqrt{6} } \ = frac{3 sqrt{12} - sqrt{18} }{6}$

$= frac{6 sqrt{3} - 3 sqrt{2} }{6}$

$= sqrt{3} - frac{1}{2} sqrt{2}$

$5) sqrt[5]{ {3}^{x} } = frac{1}{9} \ {3}^{ frac{x}{5} } = {3}^{ - 2} \ frac{x}{5} = - 2 \ x = 5( - 2) = - 10$

$6)(t sqrt{t} times sqrt{ {q}^{3} } ) ^{4} \ = ( sqrt{ {t}^{3} } times {q}^{ frac{3}{2} } ) ^{4} \ = {t}^{ (frac{3}{2} times 4) } times {q}^{ (frac{3}{2} times 4) } = {t}^{6} {q}^{6}$

$7) frac{28 sqrt{48}}{6 sqrt{3} } = frac{28 sqrt{16(3)} }{6 sqrt{3} } \ = frac{28(4) sqrt{3} }{6 sqrt{3} } \ = frac{56}{3} = 18 frac{2}{3}$