3444

$1 = 44 - 43$	$2 = 4 - (3 - \frac{4}{4})$	$3 = 4 - (4 - 3)^{4}$	$4 = \sqrt{\frac{44 + 4}{3}}$
$5 = \frac{44}{4} - 3!$	$6 = 34 - 4! - 4$	$7 = 4 - (4 - 3) + 4$	$8 = \frac{44}{4} - 3$
$9 = \frac{34 + \sqrt{4}}{4}$	$10 = 44 - 34$	$11 = 3 \cdot 4 - \frac{4}{4}$	$12 = \sqrt{(44 + 4) \cdot 3}$
$13 = \frac{34}{\sqrt{4}} - 4$	$14 = \frac{44}{4} + 3$	$15 = \frac{34 - 4}{\sqrt{4}}$	$16 = \frac{44 + 4}{3}$
$17 = \frac{34 \cdot \sqrt{4}}{4}$	$18 = 34 - 4 \cdot 4$	$19 = \frac{34 + 4}{\sqrt{4}}$	$20 = 4^{3} - 44$
$21 = \sqrt{444 - 3}$	$22 = \frac{44}{3! - 4}$	$23 = 43 - 4! + 4$	$24 = (3 + 4) \cdot 4 - 4$
$25 = \frac{44}{\sqrt{4}} + 3$	$26 = 34 - 4 - 4$	$27 = 43 - 4 \cdot 4$	$28 = 34 - 4 - \sqrt{4}$
$29 = (4 + 4) \cdot 4 - 3$	$30 = 34 - \sqrt{4 \cdot 4}$	$31 = 43 - \frac{4!}{\sqrt{4}}$	$32 = 44 - 3 \cdot 4$
$33 = 34 - \frac{4}{4}$	$34 = 34 - 4 + 4$	$35 = \frac{4}{4} + 34$	$36 = 34 - \sqrt{4} + 4$
$37 = 44 - 3 - 4$	$38 = \sqrt{4 \cdot 4} + 34$	$39 = 43 - \sqrt{4 \cdot 4}$	$40 = (34 - 4!) \cdot 4$
$41 = 43 - 4 + \sqrt{4}$	$42 = 34 + 4 + 4$	$43 = 43 - 4 + 4$	$44 = \frac{4}{4} + 43$
$45 = 44 - 3 + 4$	$46 = 44 + 3! - 4$	$47 = \sqrt{4 \cdot 4} + 43$	$48 = 4^{3} - 4 \cdot 4$
$49 = 43 + \sqrt{4} + 4$	$50 = 4 \cdot 4 + 34$	$51 = 43 + 4 + 4$	$52 = {\sqrt{4}}^{3} + 44$
$53 = 4 \cdot 4! - 43$	$54 = 34 - 4 + 4!$	$55 = \frac{4!}{\sqrt{4}} + 43$	$56 = 3 \cdot 4 + 44$
$57 = 3^{\sqrt{4 \cdot 4}} - 4!$	$58 = \sqrt{4 \cdot 4}! + 34$	$59 = 4 \cdot 4 + 43$	$60 = (34 - 4) \cdot \sqrt{4}$
$61 = 4 \cdot 4 \cdot 4 - 3$	$62 = 34 + 4 + 4!$	$63 = 43 - 4 + 4!$	$64 = 34 \cdot \sqrt{4} - 4$
$65 = 44 - 3 + 4!$	$66 = \frac{44 \cdot 3}{\sqrt{4}}$	$67 = 4 \cdot 4 \cdot 4 + 3$	$68 = \frac{34}{\sqrt{4}} \cdot 4$
$69 = 43 + \sqrt{4} + 4!$	$70 = 34 \cdot \sqrt{4} + \sqrt{4}$	$71 = 43 + 4 + 4!$	$72 = 34 \cdot \sqrt{4} + 4$
$73 = 3^{4} - 4 - 4$	$74 = \frac{444}{3!}$	$75 = 3^{4} - 4 - \sqrt{4}$	$76 = (34 + 4) \cdot \sqrt{4}$
$77 = 3^{\sqrt{4 \cdot 4}} - 4$	$78 = 34 + 44$	$79 = 3^{4} - 4 + \sqrt{4}$	$80 = 4^{3} + 4 \cdot 4$
$81 = (4 - (4 - 3))^{4}$	$82 = 43 \cdot \sqrt{4} - 4$	$83 = 3^{4} - \sqrt{4} + 4$	$84 = \frac{4^{4} - 4}{3}$
$85 = 44 \cdot \sqrt{4} - 3$	$86 = \frac{344}{4}$	$87 = 43 + 44$	$88 = (3! - 4) \cdot 44$
$89 = 3^{4} + 4 + 4$	$90 = 43 \cdot \sqrt{4} + 4$	$91 = 44 \cdot \sqrt{4} + 3$	$92 = 34 \cdot \sqrt{4} + 4!$
$93 = \sqrt{4 \cdot 4} \cdot 4! - 3$	$94 = (43 + 4) \cdot \sqrt{4}$	$95 = 4 \cdot 4! + 3 - 4$	$96 = (4 + 4) \cdot 3 \cdot 4$
$97 = 3^{4} + 4 \cdot 4$	$98 = \sqrt{(3 + 4)^{4} \cdot 4}$	$99 = \sqrt{4 \cdot 4} \cdot 4! + 3$	$100 = (34 - 4!)^{\sqrt{4}}$