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

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Presentation transcript:

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.

Simplifying Radicals 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

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

Simplifying Radicals Find the prime factors of the numbers or variables under the radical

Simplifying Radicals Find the prime factors of the numbers or variables under the radical

Simplifying Radicals Find the prime factors of the numbers or variables under the radical Find pairs 2 2

Simplifying Radicals Find the prime factors of the numbers or variables under the radical. Find pairs Take one out of the radical and leave the rest under the radical. 2

Simplifying Radicals Find the prime factors of the numbers or variables under the radical. Find pairs Take one out of the radical and leave the rest under the radical. 2 Multiply the numbers inside the radical. 2

Simplifying Radicals

Now you try…

Simplifying Radicals

Finding Area and Volume Using Radicals Find the area of this rectangle. A = lw

Finding Area and Volume Using Radicals Find the area of this rectangle. A = lw A = ( )( )

Finding Area and Volume Using Radicals Find the area of this rectangle. A = lw A = ( )( ) = 15

Finding Area and Volume Using Radicals Find the length of the sides of this square. A = s² A = 225ft²

Finding Area and Volume Using Radicals Find the length of the sides of this square. A = s² A = 225ft² Find the square root of the area. = 15

Finding Area and Volume Using Radicals Find the length of the sides of this cube. V = lwh V = 125ft³

Finding Area and Volume Using Radicals Find the length of the sides of this cube. V = lwh V = 125ft³ Find the cube root of the volume.

Finding Area and Volume Using Radicals Find the length of the sides of this cube. V = lwh V = 125ft³ Find the cube root of the volume. = 5