Simplify the expression: \sqrt{ \frac{2}{7} } \sqrt{ (2)/(7) } ​

Question

Simplify the expression: \sqrt{ \frac{2}{7} }

`\sqrt{ (2)/(7) }`
​

Answer 1

The expression is simplified to give √14/7

These expressions are surds because the square roots cannot be simplified further into rational numbers or exact whole numbers.

Surds are commonly found in various mathematical operations like addition, subtraction, multiplication, division, and simplification of algebraic expressions.

We have the expression given as;

`\sqrt{(2)/(7) }`

Now, take the singular square root of each number, we get;

√2/√7

Rationalize the surd, we get;

√2 ×√7/√7 ×√7

Multiply the values, we get that;

√14/7

The complete question:

Simplify the expression and rationalize

`\sqrt{(2)/(7) }`