(11)平方根の四則 3(解答) | 学習日 月 日( ) | |||||
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公式4を使って,計算しなさい。 | 公式5を使って,計算しなさい。 | ||
1 | (√2+5)2= (√2)2+2・5√2+52 = 2+10√2+25 = 27+10√2 |
1 | (√2+5)(√2−5)= (√2)2−52 = 2−25 = −23 |
2 | (√3+2)2= (√3)2+2・2√3+22 = 3+4√3+4 = 7+4√3 |
2 | (√6+2)(√6−2)= (√6)2−22 = 6−4 = 2 |
3 | (√6−4)2= (√6)2−2・4√6+42 = 6−8√6+16 = 22−8√6 |
3 | (√7−3)(√7+3)= (√7)2−32 = 7−9 = −2 |
4 | (√5−1)2= (√5)2−2・1√5+12 = 5−2√5+1 = 6−2√5 |
4 | (√10−1)(√10+1)= (√10)2−12 = 10−1 = 9 |
5 | (2√3+3)2= (2√3)2+2・3(2√3)+32 = 12+12√3+9 = 21+12√3 |
5 | (√5+√2)(√5−√2)= (√5)2−(√2)2 = 5−2 = 3 |
6 | (3√7+1)2= (3√7)2+2・1(3√7)+12 = 63+6√7+1 = 64+6√7 |
6 | (√6+√3)(√6−√3)= (√6)2−(√3)2 = 6−3 = 3 |
7 | (5√3−2)2= (5√3)2−2・2(5√3)+22 = 75−20√3+4 = 79−20√3 |
7 | (√8−√5)(√8+√5)=(√8)2−(√5)2 = 8−5 = 3 |
8 | (2√6−4)2= (2√6)2−2・4(2√6)+42 = 24−16√6+16 = 40−16√6 |
8 | (√3−√7)(√3+√7)= (√3)2−(√7)2 = 3−7 = −4 |
9 | (2√3+3√2)2 = (2√3)2+2(2√3)(3√2)+(3√2)2 = 12+12√6+18 = 30+12√6 |
9 | (3√5+2)(3√5−2)= (3√5)2−22 = 45−4 = 41 |
10 | (4√5−√3)2 = (4√5)2−2(4√5)(√3)+(√3)2 = 80−8√15+9 = 89−8√15 |
10 | (2√2−4√3)(2√2+4√3) = (2√2)2−(4√3)2 = 8−48 = −40 |
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