Simplify Radical, Issue #68

This adds the simplifyRadical generator, which simplifies a radical to
its simplest form

mathgenerator/mathgen.py

@@ -276,6 +276,26 @@ def factoringFunc(range_x1 = 10, range_x2 = 10):
   solution = f"(x{x1})(x{x2})"
   return problem, solution
 
+def simplifyRadicalFunc(range_x = 100):
+    x = random.randint(0, range_x)
+    if x == 1 or x == 0:
+        return f"sqrt({x})", str(x)
+    inside = x
+    outside = 1
+    factor = 2
+    while factor * factor <= inside:
+        if inside % (factor * factor) == 0:
+            # move factor^2 from inside to outside
+            inside //= (factor * factor)
+            outside *= factor
+        else:
+            factor += 1
+    problem = f"sqrt({x})"
+    # exclude redundant multiplications by 1
+    solution = str(outside if outside != 1 else '') + \
+               (f"sqrt({inside})" if inside != 1 else "")
+    return problem, solution
+
 # || Class Instances
 
 #Format is:
@@ -302,3 +322,4 @@ areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side l
 doesTriangleExist = Generator("Triangle exists check", 19, "Does triangle with sides a, b and c exist?","Yes/No", isTriangleValidFunc)
 midPointOfTwoPoint=Generator("Midpoint of the two point", 20,"((X1,Y1),(X2,Y2))=","((X1+X2)/2,(Y1+Y2)/2)",MidPointOfTwoPointFunc)
 factoring = Generator("Subtraction", 21, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
+simplifyRadical = Generator("Simplify a Radical", 22, "sqrt(72)", "6sqrt(2)", simplifyRadicalFunc)