Question

1)Escreva na forma mais simples as seguintes expressões:
a)V7 + V7 =
b)2V 5 + 7V5 - 16V 5 =
c) 275 + 8V2 - 6V2 + 8V5 =
d) 4V3 +7 4V3+ 114V3+ 24V3 =​

Answer 1

Explicação passo-a-passo:

a )

$\sqrt{7} + \sqrt{7}$

$1 \sqrt{7} + 1 \sqrt{7} = > (1 + 1) \sqrt{7} = > \red{ 2 \sqrt{7} }$

b )

$2 \sqrt{5} + 7 \sqrt{5} - 16 \sqrt{5}$

$(2 + 5 - 16) \sqrt{5} = > \red{ - 7 \sqrt{5} }$

c )

$2 \sqrt{5} + 8 \sqrt{2} - 6 \sqrt{2} + 8 \sqrt{5}$

$(2 + 8) \sqrt{5} + (8 - 6) \sqrt{2} = > \red{10 \sqrt{5} + 2 \sqrt{2} }$

d )

$4 \sqrt{3} + 74 \sqrt{3} + 114 \sqrt{3} + 24 \sqrt{3}$

$(4 + 74 + 114 + 24) \sqrt{3} = > \red{216 \sqrt{3} }$

Espero ter ajudado !!!

Answer 2

Resposta:

a )

7+7\sqrt{7} + \sqrt{7}

7

+

7

17+17=>(1+1)7=>271 \sqrt{7} + 1 \sqrt{7} = > (1 + 1) \sqrt{7} = > \red{ 2 \sqrt{7} }1

7

+1

7

=>(1+1)

7

=>2

7

b )

25+75−1652 \sqrt{5} + 7 \sqrt{5} - 16 \sqrt{5}2

5

+7

5

−16

5

(2+5−16)5=>−75(2 + 5 - 16) \sqrt{5} = > \red{ - 7 \sqrt{5} }(2+5−16)

5

=>−7

5

c )

25+82−62+852 \sqrt{5} + 8 \sqrt{2} - 6 \sqrt{2} + 8 \sqrt{5}2

5

+8

2

−6

2

+8

5

(2+8)5+(8−6)2=>105+22(2 + 8) \sqrt{5} + (8 - 6) \sqrt{2} = > \red{10 \sqrt{5} + 2 \sqrt{2} }(2+8)

5

+(8−6)

2

=>10

5

+2

2

d )

43+743+1143+2434 \sqrt{3} + 74 \sqrt{3} + 114 \sqrt{3} + 24 \sqrt{3}4

3

+74

3

+114

3

+24

3

(4+74+114+24)3=>2163(4 + 74 + 114 + 24) \sqrt{3} = > \red{216 \sqrt{3} }(4+74+114+24)

3

=>216

3