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Mathematics
Harold
17 October, 08:44
What is the value of the expression 5³√-27+4√25
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Amari Anthony
17 October, 12:20
0
669.51905283 or 375 √3 + 20
Step-by-step explanation:
Raise 5 to the power of 3
125√27 + 4√25
Rewrite 27 as 3²·3
Factor 9 out of 27
125√9 (3) + 4√25
Rewrite 9 as 3²
125√3²·3 + 4√25
Pull terms out from under the radical
125 (3√3) + 4√25
Multiply 3 by 125
375√3 + 4√25
Rewrite 25 as 5²
375√3 + 4√5²
Pull terms out from under the radical, assuming positive real numbers
375√3 + 4 · 5
Multiply 4 by 5
375 √3 + 20
Exact form: 375 √3 + 20
Decimal form: 669.51905283
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