The simple form of √98 + √50 - √8 -√72
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The simple form of √98 + √50 - √8 -√72 is 4√2.
Discussion :
Number Root :
The square root of two numbers is defined as follows:
√a^2 = a if a ≥ 0 and -a if a <0
The root of a number that does not meet the definition above is called the root shape.
Example:
√2, √5, 2√7, and ³√4 are root form numbers (irrational numbers)
The root shape properties of the sum of root shapes are:
a. p√a + q√a = (p + q) √a
b. p√a - q√a = (p - q) .a
↓↓↓↓↓↓
Following is the completion of the root shape
= √98 + √50 - √8 - √72
= √49•2 + √25•2 - √4•2 - √36•2
= 7√2 + 5√2 - 2√2 - 6√2
= 4√2
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Answer:
√49*2+√25*2-√4*2-√36*2
=7√2+5√2-2√2-6√2
=√2(7+5-2-6)
=√2(12-8)
=4√2
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