Odpowiedź:
zad 3
a)
√(4/25) + √(49/100) = 2/5 + 7/10 = 4/10 + 7/10 = 11/10 = 1 1/10
b)
√(9/64 - √(9/16) = 3/8 - 3/4 = 3/8 - 6/8 = - 3/8
c)
√(36/49 * √(4/9) = 6/7 * 2/3 = 2/7 * 2 = 4/7
d)
√(25/81) : √(1/36) = 5/9 : 1/6 = 5/9 * 6 = 5/3 * 2 = 10/3 = 3 1/3
e)
√(1/36) + √(4/36) + √(9/36) = 1/6 + 2/6 +3/6 = 6/6 = 1
f)
√(4/9) * √(9/16) * √(16/25) = 2/3 * 3/4 * 4/25 = 2 * 1 * 1/25 = 2/25
zad 4
√(2 7/9) + √(1111 1/9) = √(25/9) + √(10000/9) = 5/3 + 100/3 = 105/3 = 35
√(3 6/25) * √(6 1/4) = √(81/25) * √(25/4) = 9/5 * 5/2 = 9 * 1/2 = 9/2 = 4 1/2
√0,81 - √0,36 = 0,9 - 0,6 = 0,3
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Odpowiedź:
zad 3
a)
√(4/25) + √(49/100) = 2/5 + 7/10 = 4/10 + 7/10 = 11/10 = 1 1/10
b)
√(9/64 - √(9/16) = 3/8 - 3/4 = 3/8 - 6/8 = - 3/8
c)
√(36/49 * √(4/9) = 6/7 * 2/3 = 2/7 * 2 = 4/7
d)
√(25/81) : √(1/36) = 5/9 : 1/6 = 5/9 * 6 = 5/3 * 2 = 10/3 = 3 1/3
e)
√(1/36) + √(4/36) + √(9/36) = 1/6 + 2/6 +3/6 = 6/6 = 1
f)
√(4/9) * √(9/16) * √(16/25) = 2/3 * 3/4 * 4/25 = 2 * 1 * 1/25 = 2/25
zad 4
a)
√(2 7/9) + √(1111 1/9) = √(25/9) + √(10000/9) = 5/3 + 100/3 = 105/3 = 35
b)
√(3 6/25) * √(6 1/4) = √(81/25) * √(25/4) = 9/5 * 5/2 = 9 * 1/2 = 9/2 = 4 1/2
c)
√0,81 - √0,36 = 0,9 - 0,6 = 0,3