Question

a expressão √5000 + √509 e igual a?

Answer 1

Fatoração de
5000 = 2³.$5^{4}$
500 = 2².5³

2.25√2 + 2.5√5
50√2 + 10√5

Answer 2

5000: 2
2500: 2
1250: 2
625: 5
125: 5
25: 5
5 :5
1    =  2.2.2.5.5.5.5 = √4.√25.√25.√2 = 2.5.5.√2 = 10.5.√2 = 50√2

√509

509: 509
1

√5000 + √509
Resp.: 50√2 + √509
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Se for √500:
500: 2
250: 2
125: 5
25: 5
5: 5
1        =   2.2.5.5.5 = √4.√25.√5 = 2.5.√5 = 10√5

Resp.: Se for √5000 + √500

= 50√2 + 10√5 = 10(5√2 + √5)