The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters
What are equivalent expressions?
Equivalent expressions are different expressions that have equal values when evaluated and compared
How to approximate the radical expression?
The expression is given as:
-8 + √20
The above expression is a radical expression
So, we start by doing the following
Express 20 as 5 * 4
-8 + √20 = -8 + √(5 * 4)
Split the radical expression √(5 * 4)
-8 + √20 = -8 + √5 * √4
Evaluate the square root of 4 i.e. √4 = 2
-8 + √20 = -8 + √5 * 2
This gives
-8 + √20 = -8 + 2√5
Evaluate the square root of 5
-8 + √20 = -8 + 2 * 2.2
Evaluate the product of 2 and 2.2
-8 + √20 = -8 + 4.4
Evaluate the difference
-8 + √20 = -3.6
Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6
So, the complete equation is:
-8 + √20 = -3.6
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