How do I simplify: 1 divided by (4 + square root of 3)?

Science & Mathematics by Anonymous 2018-06-12 01:32:53

Social Science

9 answers

Anonymous

1/[4+sqr(3)] = 1[4-sqr(3)]/(16-3) (multiply both the numerator & the denominator with 4-sqr(3)) = [4-sqr(3)]/13
Anonymous

1/(4+rt3) = (4-rt3)/[(4-rt3)(4+rt3)] = (4-rt3)/(16-3) = (4-rt3)/13.
Anonymous

1 / (4 + square root 3) = 1 / (4 + 1.73205) = 1 / 5.73205 = 0.174457654765747.
Anonymous

4 - √3 ------------------------ [ 4 + √3 ] [4 - √3 ] 4 - √3 ---------- 13
Anonymous

(4-√3)/13
Anonymous

1 / (4 + square root of 3) = (4 - square root of 3) / 13
Anonymous

1 / (4 +√3) Multiply top and bottom by 4 - √3 (4 - √3) / (16 -3) (4 - √3) / 13
Anonymous

Rationalize the denominator by multiplying by its conjugate. 1 / (4 + sqrt(3)) = (4 - sqrt(3)) / (4 + sqrt(3))(4 - sqrt(3)) = (4 - sqrt(3)) / (16 - 3) = (4 - sqrt(3)) / 13. Final.
Anonymous

= 1/(4 + sqrt(3)) = 1/(4 + sqrt(3)) * (4 - sqrt(3))/4 -sqrt(3)) =(4 -sqrt(3))/ ((4+sqrt(3))(4-sqrt(3))) = (4-sqrt(3)) /(4^2 - (sqrt(3))^2) = (4 - sqrt(3)) /(16 - 3) = (4 - sqrt(3)/13