8√4^3 - 4√4^3 - 7√2^3 - 9√4^3
= 8√64 - 4√64 - 7√8 - 9√64
= 8*8 - 4*8 - 7*2 - 9*8
= 64 - 32 - 14 - 72
= -54
13√180 - 2√320
= 13√(9*20) - 2√(64*5)
= 13*3√20 - 2*8√5
= 39√20 - 16√5
2√54^3 + 7√432^-3
= 2√(2^3 * 3^3)^3 + 7√(2^4 * 3^3)^-3
= 2√(2^9 * 3^9) + 7√(2^-12 * 3^-9)
= 2*2^4 * 3^4 + 7 * 2^-4 * 3^-3
= 32 * 81 + 7 * (1/16) * (1/9)
= 2592 + (7/144)
= 2592 + 0.0486
= 2592.0486
Simplify: 8√4^3 − 4√4^3 − 7√2^3 − 9√4^3
Simplify 13√180 −2√320
Simplify: 2√54^3 + 7√432^-3
5 answers
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Apologies for the confusion. You are correct; my response contains errors. Let me correct them:
8√4^3 - 4√4^3 - 7√2^3 - 9√4^3
= 8√64 - 4√64 - 7√8 - 9√64
= 8*8 - 4*8 - 7*2√2 - 9*8
= 64 - 32 - 14√2 - 72
= 32 - 14√2 - 72
= -40 - 14√2
13√180 - 2√320
= 13√(9*20) - 2√(64*5)
= 13√180 - 2√320
2√54^3 + 7√432^-3
= 2√(2^2 * 3^3)^3 + 7√(2^4 * 3^3)^-3
= 2√(2^6 * 3^9) + 7√(2^-4 * 3^-9)
= 2*2^3 * 3^4 + 7 * 2^-2 * 3^-3
= 8 * 81 + (7/4) * (1/27)
= 648 + (7/108)
= 648 + 0.0648
= 648.0648
So, the revised answers are:
8√4^3 - 4√4^3 - 7√2^3 - 9√4^3 = -40 - 14√2
13√180 - 2√320 = 13√180 - 2√320
2√54^3 + 7√432^-3 = 648.0648
8√4^3 - 4√4^3 - 7√2^3 - 9√4^3
= 8√64 - 4√64 - 7√8 - 9√64
= 8*8 - 4*8 - 7*2√2 - 9*8
= 64 - 32 - 14√2 - 72
= 32 - 14√2 - 72
= -40 - 14√2
13√180 - 2√320
= 13√(9*20) - 2√(64*5)
= 13√180 - 2√320
2√54^3 + 7√432^-3
= 2√(2^2 * 3^3)^3 + 7√(2^4 * 3^3)^-3
= 2√(2^6 * 3^9) + 7√(2^-4 * 3^-9)
= 2*2^3 * 3^4 + 7 * 2^-2 * 3^-3
= 8 * 81 + (7/4) * (1/27)
= 648 + (7/108)
= 648 + 0.0648
= 648.0648
So, the revised answers are:
8√4^3 - 4√4^3 - 7√2^3 - 9√4^3 = -40 - 14√2
13√180 - 2√320 = 13√180 - 2√320
2√54^3 + 7√432^-3 = 648.0648