Soal 01
SIMAK UI 2009 Matematika Dasar Kode 911
\(\sqrt{3 + 2 \sqrt{2}} - \sqrt{2} = \dotso\)
(A) \(4\sqrt{2}\)
(B) \(3 + \sqrt{2}\)
(C) \(\sqrt{2}\)
(D) \(1\)
(E) \(0\)
Soal 02
SIMAK UI 2009 Matematika Dasar Kode 911
Nilai dari \(\dfrac {1}{1 + \sqrt{2}} + \dfrac {1}{\sqrt{2} + \sqrt{3}} + \dfrac {1}{\sqrt{3} + \sqrt{4}} + \dotso + \dfrac {1}{\sqrt{63} + \sqrt{64}} = \dotso\)
(A) 10
(B) 9
(C) 8
(D) 7
(E) 6
Soal 03
SIMAK UI 2011 Matematika Dasar Kode 211
Nilai dari \(\sqrt [3] {2 + \sqrt{5}} + \sqrt [3] {2 - \sqrt{5}} - 3\) adalah ...
(A) −2
(B) −1
(C) 1
(D) 1,5
(E) 2
Soal 04
SIMAK UI 2016 Matematika Dasar Kode 541
Bentuk sederhana dari ekspresi \(\sqrt [3] {4} \: \left(\sqrt [3] {\dfrac {9}{16}} - \sqrt [3] {\dfrac {3}{16}} + \sqrt [3] {\dfrac {1}{16}} \right)^{-1}\)
(A) \(\sqrt [3] {4} + 1\)
(B) \(\dfrac {\sqrt [3] {4} + 1}{\sqrt [3] {3}}\)
(C) \(\sqrt [3] {3} + 1\)
(D) \(\dfrac {\sqrt [3] {3} + 1}{\sqrt [3] {4}}\)
(E) \(\dfrac {\sqrt [3] {3} + 1}{4}\)
Soal 05
SIMAK UI 2019 Matematika Dasar Kode 541
Jika \(5^{10x} = 1600\) dan \(2^{\sqrt{y}} = 25\), nilai \(\dfrac {\left(5^{x - 1} \right)^5}{8^{\left(- \sqrt{y} \right)}}\) adalah ...
(A) 50
(B) 100
(C) 150
(D) 200
(E) 250