Radical (Square Roots) Algebra I. What is a radical? An expression that uses a root, such as square...

Radical (Square Roots)

Algebra I

What is a radical?

• An expression that uses a root, such as square root, cube root

Finding a square or cube root

• Use your calculator – The square root function – The math function, option #4 for cubed

Simplifying Radicals

• For every pair, you take out one as a whole number.


• When the square root isn’t a perfect square there are different ways to simplify.– Put the value in the calculator, get the

decimal value and round.– Simplify keeping the answer in radical

form.– Fractions separate the top and the

bottom


• Fraction square roots – separate the numerator and the denominator, find each square root, then reduce if necessary.


• Find the prime factors of the numbers or variables under the radical.

24 8 3 4 2 2 2



24 8 3 4 2• Find pairs 2 2



• Find pairs • Take one out of the radical and leave the

rest under the radical.

2



• Find pairs • Take one out of the radical and leave the rest

under the radical.

2• Multiply the numbers inside the radical.

2


• Now you try…

Finding Area and Volume Using Radicals

• Find the area of this rectangle. A = lw


• Find the area of this rectangle. A = lw A = ( )( )


• Find the area of this rectangle. A = lw A = ( )( ) = 15


• Find the length of the sides of this square.

A = s² A = 225ft²


• Find the length of the sides of this square.

A = s² A = 225ft²• Find the square root of the area.

= 15


• Find the length of the sides of this cube.

V = lwh V = 125ft³



V = lwh V = 125ft³Find the cube root of the volume.



V = lwh V = 125ft³Find the cube root of the volume.

= 5

Radical (Square Roots) Algebra I. What is a radical? An expression that uses a root, such as square...

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