Question

How to change a decimal into surds?

A) By rounding the decimal to the nearest integer.
B) By multiplying the decimal by a constant factor.
C) By converting the decimal to a fraction.
D) By expressing the decimal as a square root.
E) By adding or subtracting a fixed value from the decimal.

Answer 1

To change a decimal into surds, you need to express the decimal as a square root. Follow these steps: convert the decimal into a fraction, simplify the fraction, find a square root equal to the simplified fraction, and if no exact square root is found, leave it in the form of a square root symbol or as a decimal approximation.

Step-by-step explanation:

To change a decimal into surds, you need to express the decimal as a square root. This means finding a square root that is equal to the decimal. Here is a step-by-step process:

1. Convert the decimal into a fraction if it isn't already.
2. Simplify the fraction if possible.
3. Find a square root equal to the simplified fraction.
4. If no exact square root is found, you can leave it in the form of the square root symbol.
5. If the fraction can't be simplified, you can leave it as a decimal approximation.