Question

Simplifique os radicais e efetue as operações:

a) 2√2 + √8 = _____________
b) √50 - √98 = _____________
c) √12 - 6√3 = _____________

Answer 1

Ehidbeidjiejsiensie

Answer 2

Resposta:

a) $2\sqrt{2}$

b) $-2\sqrt{2}$

c) $-4\sqrt{3}$

Explicação passo-a-passo:

a) $2\sqrt{2} +\sqrt{8}$

MMC

8 / 2

4 / 2

2 / 2

1

$\sqrt{8} = \sqrt{2.2.2} =\sqrt{2^{2}.2 } =2\sqrt{2}$

$2\sqrt{2} +2\sqrt{2} =4\sqrt{2}$

b) $\sqrt{50} -\sqrt{98}$

50 / 2

25 / 5

5 / 5

1

$\sqrt{50} =\sqrt{2.5.5} =\sqrt{2.5^{2} } = 5\sqrt{2}$

98 / 2

49 / 7

7 / 7

1

$\sqrt{98} =\sqrt{2.7.7} =\sqrt{2.7^{2} } = 7\sqrt{2}$

$\sqrt{50} -\sqrt{98} = 5\sqrt{2} -7\sqrt{2} = -2\sqrt{2}$

c) $\sqrt{12} - 6\sqrt{3}$

12 / 2

6 / 2

3 / 3

1

$\sqrt{12}=\sqrt{2.2.3} =\sqrt{2^{2} .3} =2\sqrt{3}$

$2\sqrt{3}-6\sqrt{3} = -4\sqrt{3}$

Espero ter ajudado!