Question

√12*√48 вычислите √196* √9; √128*√18​

Answer 1

Ответ:

$\sqrt{12}*\sqrt{48} = \sqrt{12*48} = \sqrt{12*12*4} = 12*2 = 24\\\\\sqrt{196}*\sqrt{9} = 14*3 = 42\\\\\sqrt{128}*\sqrt{18} = \sqrt{128*18} = \sqrt{2*64*2*9} = 2*8*3 = 48$

Answer 2

Let's simplify each expression step by step:

1. √12 * √48: √12 = √(4 * 3) = √4 * √3 = 2 * √3 √48 = √(16 * 3) = √16 * √3 = 4 * √3 √12 * √48 = (2 * √3) * (4 * √3) = 8 * (√3)^2 = 8 * 3 = 24

2. √196 * √9: √196 = 14 (since 14^2 = 196) √9 = 3 √196 * √9 = 14 * 3 = 42

3. √128 * √18: √128 = √(64 * 2) = √64 * √2 = 8 * √2 √18 = √(9 * 2) = √9 * √2 = 3 * √2 √128 * √18 = (8 * √2) * (3 * √2) = 24 * (√2)^2 = 24 * 2 = 48

Therefore: √12 * √48 = 24 √196 * √9 = 42 √128 * √18 = 48