初一几道数学题，过程写下来 帮到高分 很急 在线等

Question

1.(2次根号2-3)^2(2次根号2+3)^2/3
2.根号(根号3-2)^2+(根号3-1)^0
3.利用幂的形式计算:(3^1/2×5^1/2)^4
4.(根号5-2)^2-(根号5+2)^2
5.(16^-3×4^3)^1/6
6.-81^3/4÷2^3+(16/49)^-1/2-1
7.(7^3/2×49^-3/4)^2/3

Answer 1

1.(2次根号2-3)^2(2次根号2+3)^2/3
=[(√2-3)(√2+3)]²/3
=(2-3)²/3
=1/3

2.根号(根号3-2)^2+(根号3-1)^0
=√(2-√3+1)
=√(3-√3)

3.利用幂的形式计算:
(3^1/2×5^1/2)^4
=(15½)^4
=15²
=225

4.(根号5-2)^2-(根号5+2)^2
=(√5-2-√5-2)(√5-2+√5+2)
=-8√5

5.(16^-3×4^3)^1/6
=(4^-6*4^3)^1/6
=(2^-6)^1/6
=2^-1
=1/2

6.-81^3/4÷2^3+(16/49)^-1/2-1
=-3³÷8+7/4-1
=-9/8+14/8-8/8
=-3/8

7.(7^3/2×49^-3/4)^2/3
=7×49^-1/2
=7×1/7
=1

Answer 2

1. 原式=（√2-3）²（√2+3）² /3
=<(√2-3)(√2+3)>² /3
=<2-9>² /3
=49/3
2. 原式=√3-2+1
=√3-1
3. 原式=3²+5²
=9+25
=34
4. 原式=（√5-2+√5+2）（√5-2-√5-2）
=2√5 x -4
-8√5
5.原式=（1/16)²（1/4）²

Answer 3

乱七八糟，看得我眼都花了