ALGEBRA UNIT 9-RADICALS SIMPLIFYING RADICALS (DAY 1)
Transcript of ALGEBRA UNIT 9-RADICALS SIMPLIFYING RADICALS (DAY 1)
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ALGEBRA UNIT 9-RADICALS
SIMPLIFYING RADICALS (DAY 1)
How can you determine if a number is perfect square?
Simplify the following:
1) 18 2) - 984 3) - 484
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4) 122
1 5) 502 6) 27
PROCEDURE TO SIMPLIFY RADICALS (non-perfect squares):
1. List perfect squares from 1 to 200 out. (VIPS) (create a list)
2. Any # in front of the comes down to be multiplied into your final answer
3. Determine where the number under the (that you are simplifying) would
fall in this list.
4. Work UP the list to #1 to locate the largest perfect square that goes into
your number.
5. Once found, break up your original (house) by placing the largest
perfect square number found under the first sign and place its divisor
under the second sign.
6. Circle the perfect square. – IT IS SO PERFECT THAT IT _____________ OUT OF
THE HOUSE. (This number will get multiplied with any number that was
originally outside the sign. Carry remaining radical down to your
answer.
VIPS
LIST
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7) 999 8) 323 9) 755
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10) 25
4 11) 16.0 12) 5004
13) Given a right triangle with leg of 8 m and a hypotenuse of 12m, determine
the length of the other leg in simplest radical form.
14) Given a right triangle with a hypotenuse of 28 and a leg of 10. Find the length of
the missing leg in simplest radical form.
15. Given a right triangle with a leg of 8cm and a leg of 6cm. Find the length of the
hypotenuse in simplest radical form.
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SIMPLIFYING RADICALS CONT…(DAY 2)
1) 645 2) 482 3) 722
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4) 128x2 5) 1765 6) 50d2
1 4
7) 1473 8) 5002 9) 24a5 2
VIPS
LIST
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10) The length of the hypotenuse of a right triangle is 13cm. One leg is 7cm, find the
length of the other leg in simplest radical form.
11) A woman casts a shadow of 11ft. The measure from the top of her head to the tip
of the shadow is 12.5ft. How tall is the woman to the nearest foot?
12) Given a right triangle with a hyptoneuse of 29 and a leg of 8, find the length of
the missing leg in simplest radical form.
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ADDING RADICALS/SUBTRACTING RADICALS (DAY 3)
SIMPLIFY:
1. 9+915 2. 63 - 68 3. 563234
4. Find the sum of 12x2 and 3x7 . 5. Subtract 86 from 323 .
6. What is the difference between 755
1and 482
7. The sides of a triangle are 45 , 180 , and 202 . Find the perimeter of the triangle
in simplest radical form.
8. The perimeter of a rectangle is 836 . The width of the rectangle is 23 . Find the
length of the rectangle in simplest radical form.
ADDING RADICALS/SUBTRACTING RADICALS:
(MUST HAVE SAME RADICALS TO COMPLETE OPERATIONS)
1. Simplify radical if necessary. (Must have same radical)
2. Add/Subtract COEFFICIENTS of LIKE RADICALS.
3. Attach/carry LIKE RADICAL to answer.
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MULTIPLIYING RADICALS (DAY 4)
Perform the indicated operation, put answer in simplest radical form, and state if the
answer is a rational or irrational number.
1. 15•63
2 2. 3•3 3. 3•63
4. 3•12 5. - 5•94
3 6. 37•85
Find the area of the figures below in simplest radical form.
7.
8. A patio has a length of 610 and a width of 204 . The contractor wants to buy
enough bags of concrete to fill this area. If each bag covers 9 square feet, how
many bags of concrete should he buy.
PROCEDURE FOR MULTIPLYING RADICALS:
1. MULTIPLY the COEFFICIENTS of each of the radicals.
2. MULTIPLY the RADICALS
3. SIMPLIFY final Answer
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DIVIDING RADICALS
Perform operation and Simplify:
1. 824 2. 4
36 3.
12
96
4. -4236
718 5. 24488 6. -
36
543
7. 24675
2815
8. The area A of a rectangle and the measure of its base b are given. Find the height
h of the rectangle expressed in simplest form. 52b606A
PROCEDURE FOR DIVIDING RADICALS:
1. DIVIDE the COEFFICIENTS
2. Determine radical position in final answer by comparing radicands. Radical
will stay in the position of where the larger radicand was originally located.
3. DIVIDE larger radicand number by smaller radicand number.
4. SIMPLIFY final Answer