Question

Change the expression to a single square root, or its opposite:

a) 1/3* √18
b) 5*√a/5
c) 2*√3/4
d) -10*√0.02
e) -1/2*√12x

Answer 1

To change the expressions to a single square root or its opposite, we simplify each expression by combining like terms and simplifying any square roots.

Step-by-step explanation:

To change the expression to a single square root or its opposite, we need to simplify each expression by combining like terms and simplifying any square roots. Let's go through each expression:

a) 1/3 * √18: We can simplify √18 to √(9 * 2). Since √9 = 3, we have 1/3 * 3√2, which simplifies to √2.

b) 5 * √a/5: We can simplify this expression as √a,

c) 2 * √3/4: We can simplify this expression as √(3/4). However, we cannot simplify it further, so we leave it as it is.

d) -10 * √0.02: We can simplify √0.02 to √(0.01 * 2). Since √0.01 = 0.1, we have -10 * 0.1√2, which simplifies to -√2.

e) -1/2 * √12x: We can simplify √12x to √(4 * 3 * x). Since √4 = 2, we have -1/2 * 2√(3x), which simplifies to -√(3x).