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Go step by step to reduce the radical [tex] \sqrt{108} [/tex]

Sagot :

√(108)

Express 108 as:

108 = 4*27

Express 27 as:

27= 9*3

So:

√(108) = √(4*9*3)

Use the following property:

√(a*b) = √(a) * √(b)

√(4*9*3) = √(4) * √(9) * √(3)

√(4*9*3) = 2*3*√(3)

√(4*9*3) = 6*√(3)

--------------------------------------------

√(216)

Express 216 as:

216 = 36*6

√(216) = √(36*6)

√(36*6) = √(36) * √(6) = 6 * √(6)

√(216) = 6√(6)

-----------------------------------

√(288)

Express 288 as:

288 = 144*2

√(288) = √(144*2)

√(144*2) = √(144) * √(2) = 12 * √(2)

√(288) = 12√(2)

---------------------

√(96)

Express 96 as:

96 = 16*6

√(96) = √(16*6)

√(16*6) = √(16) * √(6) = 4 * √(6)

√(96) = 4√(6)

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