Maths-
General
Easy

Question

Simplify by combining similar terms: 
2 cube root of 4 plus 7 cube root of 32 minus cube root of 500

The correct answer is: Make the terms similar and then add


    Complete step by step solution:
     Here we can write, 2 cube root of 4 equals 2 cross times 4 to the power of 1 third end exponent 7 cubed cube root of 32 equals 7 cross times 32 to the power of 1 third end exponent, and cube root of 500 equals 500 to the power of 1 third end exponent
    This can be written as 2 cross times 2 to the power of 2 to the power of 1 third end exponent end exponent comma 7 cross times 2 to the power of 5 to the power of 1 third end exponent end exponent, and open parentheses 2 squared cross times 5 cubed close parentheses to the power of 1 third end exponent
    So, 2 cube root of 4 plus 7 cube root of 32 minus cube root of 500 equals 2 cross times 2 to the power of 2 over 3 end exponent plus 7 cross times 2 to the power of 5 over 3 end exponent minus 5 cross times 2 to the power of 2 over 3 end exponent
    Taking common term 2 to the power of 2 over 3 end exponent outside, we have 2 to the power of 2 over 3 end exponent open parentheses 2 plus 7 cross times 2 to the power of 3 over 3 end exponent minus 5 close parentheses
    2 to the power of 2 over 3 end exponent left parenthesis 2 plus 7 cross times 2 minus 5 right parenthesis
    not stretchy rightwards double arrow 2 to the power of 2 over 3 end exponent left parenthesis 11 right parenthesis horizontal ellipsis

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