The document contains 5 mathematical expressions: a) defines x as the square root of a fraction involving a, b, and constants; b) defines y as the square root of a fraction involving a, b, and the sum of fractions; c) defines x as a fraction involving a, b, c, and constants; d) defines m as the square root of a fraction involving a, b, and the sum of square roots; e) defines y as a fraction within parentheses involving square roots and fractions of a, b, c, x, and constants.

1. a)𝑥 = (
√ 𝑎2𝑏+2𝑎𝑏4
1
2
𝑎2 𝑏3
)
b) 𝑦 = √
1
2
𝑎2 𝑏3
4
6
+
7
9
+
6
5
c)𝑥 =
(2𝑎2 𝑏+4𝑎𝑐)
2
45
1
2
𝑎3
d)𝑚 =
√4𝑎2 𝑏3+2𝑎
6
√4𝑎2 𝑏+3𝑏
4
e)𝑦 = (
(1
2
𝑎2 𝑏3+2
4
𝑥2 𝑐)
2
√2𝑎3 𝑏4
4𝑥𝑦
)
4