Question

if a is equal to 7 minus 4 root 3 find the value of root a + 1 upon root a​

Answer 1

Answer:

√a+1/√a = 4

Explanation:

a = 7 - 4√3

=> a = 7 - 2√12

i ) √a = √(7-2√12)

= √(4+3)-2√(4×3)

= √[(√4)²-(√3)²+2√4×√3]

= √(√4-√3)²

=√4 - √3

= 2-√3 ---( 1 )

ii ) 1/a = 1/(2-√3)

= (2+√3)/[(2-√3)(2+√3)]

= (2+√3)/[2²-(√3)²]

= (2+√3)/(4-3)

= 2+√3 ----( 2 )

Now ,

√a + 1/√a

= 2-√3+2+√3

= 4

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