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how do i simplify radicals

by Brisa Reyes
(Delano Ca)










































How do i simplify radicals ?

Explain how to simplify radicals without calculating the decimal equivalent.

Begin by factoring the number or expression under the radical sign.

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Jan 13, 2012
Simplify Radicals
by: Staff


Question:

by Brisa Reyes
(Delano Ca)

how do i simplify radicals


Answer:

As an example, simplify √(1575)


To simplify this expression, begin by factoring the sqrt portions

√(1575)

= √(3*3*7*5*5)


Next, group the values under the square root signs as squares

= √(3²*7*5²)

= √(3²*5²*7)


Now split the expressions under the square root signs into separate square roots which are multiplied together

= √(3²)*√(5²)*√7


Evaluate the square root where possible

Note: the sqrt(3²) = 3, the sqrt(5²) = 5

= 3*5*√7

= 15*√7

= 15√7

>>>>>>>> √(1575) = 15√7


Thanks for writing.
Staff

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