<em>You can add or subtract (and divide if positive) same value to both sides of an inequality, it doesn't change the balance but makes it easier to decide.</em>
<h3>#1 <</h3>
√3 + 2 vs √3 + 3
2 < 3
<h3>#2 ></h3>
√11 + 15 vs √8 + 15
√11 > √8
<h3>#3 <</h3>
√6 + 5 vs 6 + √5
√6 - √5 vs 6 - 5 = (√6 + √5)(√6-√5)
1 < √6 + √5
<h3>#4 <</h3>
√9 + 3 vs 9 + √3
3 + 3 = 6 < 9 + √3
This can be solved similarly to #3 too
<h3>#5 ></h3>
√17 - 3 vs -2 + √5
√17 - 3 > 4 - 3 = 1 and √5 - 2 < 3 -2 = 1
Left side is greater than 1, right side is smaller than 1
