Ответ:
В решении.
Пошаговое объяснение:
Упростить:
1) √150 + √600 - √24 =
= √25*6 + √100*6 - √4*6 =
= 5√6 + 10√6 - 2√6 = 13√6;
2) √125 - 2√5 - 1,2√20 =
= √25*5 - 2√5 - 1,2√4*5 =
= 5√5 - 2√5 - 1,2*2√5 =
= 3√5 - 2,4√5 = 0,6√5;
3) 2√18 - √8 + √128 =
= 2√9*2 - √4*2 + √64*2 =
= 2*3√2 - 2√2 + 8√2 =
= 6√2 - 2√2 + 8√2 = 12√2;
4) √98 + 1,5√72 + √8 =
= √49*2 + 1,5√36*2 + √4*2=
= 7√2 + 1,5*6√2 + 2√2 =
= 7√2 + 9√2 + 2√2 = 18√2;
5) √27 - 0,5√75 - 2√48 =
= √9*3 - 0,5√25*3 - 2√16*3 =
= 3√3 - 0,5*5√3 - 2*4√3 =
= 3√3 - 2,5√3 - 8√3 = -7,5√3;
6) √28 + 2√63 - 2,5√252 =
= √4*7 + 2√9*7 - 2,5√36*7 =
= 2√7 + 2*3√7 - 2,5*6√7 =
= 2√7 + 6√7 - 15√7 = -7√7.
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Answers & Comments
Ответ:
В решении.
Пошаговое объяснение:
Упростить:
1) √150 + √600 - √24 =
= √25*6 + √100*6 - √4*6 =
= 5√6 + 10√6 - 2√6 = 13√6;
2) √125 - 2√5 - 1,2√20 =
= √25*5 - 2√5 - 1,2√4*5 =
= 5√5 - 2√5 - 1,2*2√5 =
= 3√5 - 2,4√5 = 0,6√5;
3) 2√18 - √8 + √128 =
= 2√9*2 - √4*2 + √64*2 =
= 2*3√2 - 2√2 + 8√2 =
= 6√2 - 2√2 + 8√2 = 12√2;
4) √98 + 1,5√72 + √8 =
= √49*2 + 1,5√36*2 + √4*2=
= 7√2 + 1,5*6√2 + 2√2 =
= 7√2 + 9√2 + 2√2 = 18√2;
5) √27 - 0,5√75 - 2√48 =
= √9*3 - 0,5√25*3 - 2√16*3 =
= 3√3 - 0,5*5√3 - 2*4√3 =
= 3√3 - 2,5√3 - 8√3 = -7,5√3;
6) √28 + 2√63 - 2,5√252 =
= √4*7 + 2√9*7 - 2,5√36*7 =
= 2√7 + 2*3√7 - 2,5*6√7 =
= 2√7 + 6√7 - 15√7 = -7√7.