Question

Divide and simplify. √128/8

Answer 1

The simplest form of the expression is √2 .

• Expressions in science square measure mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by degree operator in between.
• Simplifying expressions mean redaction an identical maths expression with no like terms and through a compact manner.
• To change expressions, we tend to tend to combine all kind terms and solve all the given brackets, if any, so at intervals the simplified expression, we tend to square measure about to be exclusively left with not like terms that cannot be reduced any.

We have given an expression  √128/8 .   .....(1)

Factors of 128 is given by

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2  

Put this factors in equation (1) , we get

√128/8 = $\frac{\sqrt{2\times2\times2\times2\times2\times2\times2} }{8}$

On simplifying , we get

√128/8 = 2 ×2 × 2√2 / 8

            = 8√2 /8

           = √2

 

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