化簡二次根式根號下(-5)²x3 1.-5根號3 2.5根號3

化簡二次根式根號下(-5)²x3 1.-5根號3 2.5根號3

√(- 5)²×3
=丨- 5丨×√3
= 5√3

二次根式化簡根號{[(根號8)-1]²+[根號8)-1]²}

根號[(根號8)-1]²+[根號8)-1]²
=根號[8+1-2(根號8)] + [8+1+2(根號8)]
=根號(9+9)
=根號(18)
=3根號(2)

先化簡再求值(1+x)分之(x²+2x)÷{x-(x+1)分之2}-1,其中x=根號2+1分之1

x=1/(√2+1)=√2-1
原式=x(x+2)/(x+1)÷(x²+x-2)/(x+1)-1
=x(x+2)/(x+1)*(x+1)/(x+2)(x-1)-1
=x/(x-1)-1
=(x-x+1)/(x-1)
=1/(x-1)
=1/(√2-1-1)
=(√2+2)/(2-4)
=-(√2+2)/2

先化簡再求值x分之x²-1÷(1-x分之2x-1)其中x=根號2 x²-1÷(1-x分之2x-1)是x²-1÷(1 - x分之2x-1)

=(x+1)(x-1)/x÷(x-2x+1)/x
=(x+1)(x-1)/x×[-x/(x-1)=
=x+1
當x=√2時
原式=√2+1

(1+2x-4/x²-x-2)÷x+3/x²-1先化簡再求值X=根號3

1+(2x-4)/(x^2-a-2)]/[(x+3)/(x^2-1)]
={1+2(x-2)/[(x-2)(x+1)]}(x^2-1)/(x+3)
=[1+2/(x+1)](x+1)(x-1)/(x+3)
=[x+1+2](x-1)/(x+3)
=x-1
x=√3(根3)
原式=√3-1.

先化簡,再求值:(1)(x+1/x²-x-x/x²-2x+1)÷1/x,x=根號2+1 (2)(1+x-3/x+3)÷2x/x²-9 x=根號3+3(3)4-x/x-2÷(x+2-12/x-2)x=根號3-4(4)x-3/2x-4÷(5/x-2-x-2)x=根號3-2

先化簡,再求值:(1)(x+1/x²-x-x/x²-2x+1)÷1/x,x=根號2+1急!=((x+1)/x(x-1)-x/(x-1)²)×x=(x+1)/(x-1)-x²/(x-1)²=(x²-1-x²)/(x-1)²=-1/(√2+1-1)²=-1/2;(2)(1…

x>3,化簡根號x²-6x+9+根號x²+2x+1

根號x²-6x+9+根號x²+2x+1
=根號(x-3)²+根號(x+1)²
=x-3+x+1
=2x-2

當x>3時,化簡(3-x)根號2x/9-6x+x²

(3-x)√2x/9-6x+x²
=(3-x)√2x/(3-x)²
=(3-x)/(x-3)√2x
=-√2x

化簡:-2<x<2,根號x²+2x+1 +根號系²-6x+9

-1

化簡化簡1/6X根號18x-x²根號1/2x

1/6X根號18x-x²根號1/2x
=1/2x√2x-1/2x√2x
=0