Question

doprowadź do postaci a√b

7√5+√20=?

√48-√3=?

√12+√27=?

√45-√125=?

0,2√50+0,8√72-0,3√32=?

3√20-⅓√45-5√180=?

z rozwiązaniem prosze ;0

Answer 1

7√5+√20=7√5+√5*4= 7√5 + 2√5 = 9√5

√48-√3= √16*3 - √3 = 4√3 - √3 = 3√3

√12+√27= √4*3 + √9 *3 = 2√3 + 3√3 = 5√3

√45-√125= √9*5 - √25*5 = 3√5 - 5√5 = -2√5

0,2√50+0,8√72-0,3√32= √4/100*50 + 0,8√36*2 - 0,3√16*2 = √4/2 + 4,8√2 - 1,2√2 = √2 + 4,8√2 - 1,2√2 = √2 + 3,6√2 = 4,6√2

3√20-⅓√45-5√180= 3√5*4 - 1/2√9*5 - 5√36*5 = 6√5 - 3/2√5 - 30√5 = 12/2√5 - 3/2√5 - 60/2√5 = -51/2√5