Find the value of x in \sqrt{( \sqrt5-1/\sqrt5)^2 /(\sqrt0.8+1/\sqrt0.8)^2}={8x}/3 .

Powers and Roots Practice Test 2

Question : 30 of 40

Marks: +1, -0

Find the value of x in

√{( √5-1/√5)^2 /(√0.8+1/√0.8)^2}={8x}/3 .

Solution:

√{( √5-1/√5)^2 /(√0.8+1/√0.8)^2}={8x}/3

⇒√{( 5+1/5-2) /(8/10+10/8+2) }={8x}/3

⇒√{( 16/5) /(162/40) }={8x}/3

⇒√{( 16×40) /(5×162 ) }={8x}/3

⇒√{64 /81 }={8x}/3

⇒ {64 /81 }={64x^2}/9

⇒1/9=x^2

⇒x=1/3

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