1.(√12——7√3-√2)乘√3 2.3√2(2√15-4√2分之1-3√48)3.2√xy-3x√x分之y+4√y分之x)乘以(-2x√xy) 4.(2√2-3√3)² 5.(3√2-2√3)(3√2+2√3) 6.(√3-√2)²乘以 (5+2√6)
问题描述:
1.(√12——7√3-√2)乘√3 2.3√2(2√15-4√2分之1-3√48)
3.2√xy-3x√x分之y+4√y分之x)乘以(-2x√xy) 4.(2√2-3√3)² 5.(3√2-2√3)(3√2+2√3) 6.(√3-√2)²乘以 (5+2√6)
答
(√12——7√3-√2)乘√3
=√12x√3-7√3x√3-√2x√3
=√36-7x3-√6
=-15-√6
2.3√2(2√15-4√2分之1-3√48)
=3√2×2√15-3√2×4√2分之1-3√2×3√48
=6√30-12-9√2×4√3
=6√30-12-36√6
3.2√xy-3x√x分之y+4√y分之x)乘以(-2x√xy)
=(-2x√xy)*2√xy-(-2x√xy)*3x√x分之y+(-2x√xy)*4√y分之x
=-4x*xy+6x²√y²-8x√y²
=-4x²y+6x²y-2xy
=2x²y-2xy
4. (2√2-3√3)²
=(2√2)²+(3√3)²-12√6
=8+27-12√6
=35-12√6
5. (3√2-2√3)(3√2+2√3)
=(3√2)²+(2√3)²
=18-12
=6
6. (√3-√2)²乘以 (5+2√6)
= (5-2√6) (5+2√6)
=25-24
=1