Question

Найдите значения выражений:
1)√2•3⁴•√2•5²
2)√12•20•√48:√5

Answer 1

$1) sqrt{2*3^{4} }*sqrt{2*5^{2} }=sqrt{2*3^{4}*2*5^{2}}=sqrt{2^{2}*(3^{2}) ^{2}*5^{2}}=2*3^{2}*5=30\\2)frac{sqrt{12*20} *sqrt{48} }{sqrt{5} }=frac{sqrt{4*3*4*5*16*3} }{sqrt{5} }=frac{sqrt{4^{2}*3^{2}*16*5} }{sqrt{5} } =frac{4*4*3*sqrt{5}}{sqrt{5} } =48$