1. √18 + √75+√72+√27=
2. √90 + √250 - √160 - √490=
3. 6√8 + 7√28 - 2√18 - 3√63=
4. 2√150 - 2√27 - 3√96 - 4√75=
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1. √18 + √75+√72+√27= 3√2 + 5√3 + 6√2 + 3√3 = 9√2 + 8√3
2. √90 + √250 - √160 - √490= 3√10 + 5√10 - 4√10 - 7√10 = - 3√10
3. 6√8 + 7√28 - 2√18 - 3√63= 6 * 2√2 + 7 * 2√7 - 2 * 3√2 - 3 * 3√7 = 12√2 + 14√7 - 6√2 - 9√7 = 6√2 + 5
4. 2√150 - 2√27 - 3√96 - 4√75= 2 * 5√6 - 2 * 3√3 - 3 * 4√6 - 4 * 5√3 = 10√6 - 6√3 - 12√6 - 20√3 = - 2√6 - 26
1) √18+√75+√72+√27 = √(9·2) + √(25·3) + √(36·2) + √(9·3) =
= 3√2+5√3+6√2+3√3 =9√2 + 8√3
2) √90 +√250- √160 -√490 = √(9·10) + √(25·10) - √(16·10) - √(49·10) =
= 3√10 + 5√10 - 4√10 - 7√10 =-3√10
3) 6√8 + 7√28 -2√18 -3√63 = 6√(4·2) +7√(4·7) -2√(9·2) -3√(9·7) =
=6·2√2 + 7·2√7 -2·3√2 - 3·3√7 = 12√2 + 14√7-6√2-9√7 =
= 6√2 +5√7
4) 2√150 - 2√27 - 3√96 - 4√75 = 2·√(25·6) -2√(9·3) -3√(16·6) -4·√(25·3) =
=2·5√6 - 2·3√3 - 3·4√6 - 4·5√3 = 10√6 - 6√3 - 12√6 - 20√3 =
= -2√6 - 26√3