Make the denominator rational. Simplify as far as possible.
21
Für diese Aufgabe benötigst Du folgendes Grundwissen: Square Roots
Expand with the denominator.
21 = 2⋅21⋅2 = (2)22 ↓ The square root cancels the square.
= 22 Do you have a question?
235
Für diese Aufgabe benötigst Du folgendes Grundwissen: Square Roots
Expand with 3 .
235 = 2⋅353 = 2⋅35⋅3 ↓ Conclude.
= 653 Do you have a question?
12525
Für diese Aufgabe benötigst Du folgendes Grundwissen: Square Roots
12525 = 25⋅525 ↓ Take the square root of 25.
= 5525 ↓ Expand with 5.
= 5⋅5⋅525⋅5 = 5⋅525⋅5 ↓ Shorten.
= 5 Do you have a question?
xyx−y
Für diese Aufgabe benötigst Du folgendes Grundwissen: Square Roots
Expand with the denominator.
xyx−y = xy⋅xy(x−y)⋅xy = xy2x⋅xy−y⋅xy ↓ The square root cancels the square.
= xyx2⋅y−y2⋅x = xyxy−yx = xyxy−xyyx ↓ Shorten.
= yy−xx Do you have a question?
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