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Can u guys answer these 2 questions pls

Can u guys answer these 2 questions pls-example-1

1 Answer

6 votes

Answer:

14) answer is 4

15) proved

Explanation:

x=7-4√3 , √x +1/√x

√(7-4√3) +1/√7-4√3)=

8-4√x/√(7-4√3)= 4 ( use calculator)

(81/16)^-3/4*[(25/9)^-3/2 ÷(5/2)^-3]=

(81/16)^-3/4= (9²/4²)^-3/4=(4^6/4)/(9^6/4)=8/(27)=8/27

(25/9)^-3/2= (9^(3/2))/(25^3/2)=27/125

(5/2)^-3=2³/5³ =8/125

put the number to find the result:

8/27[(27/125)÷(8/125)=

8/27[(27/125)×125/8)]= 125 in nominator and dinaminotor=1

8/27[27/8]=1 proved

User Jaume Colom
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