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Maths-

General

Easy

Question

Simplify by combining similar terms: $2 root index 8 of 4 plus 7 cube root of 32 minus cube root of 500$

hint Hint:

Make the terms similar and then add.

The correct answer is: common term

Complete step by step solution:
Here we can write, $2 cube root of 4 equals 2 cross times 4 to the power of 1 third end exponent comma 7 root index 8 of 32 equals 7 cross times 32 to the power of 1 third end exponent$ and $cube root of 500 equals 500 to the power of 1 third end exponent$
This can be written as $2 cross times 2 to the power of 2 to the power of 1 third end exponent end exponent comma 7 cross times 2 to the power of 5 to the power of 1 third end exponent end exponent text and end text open parentheses 2 squared cross times 5 cubed close parentheses to the power of 1 third end exponent$
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 $2 to the power of 2 over 3 end exponent open parentheses 2 plus 7 cross times 2 to the power of 3 over 3 end exponent minus 5 close parentheses$
$table attributes columnspacing 1em end attributes row cell not stretchy rightwards double arrow 2 to the power of 2 over 3 end exponent open parentheses 2 plus 7 cross times 2 minus 5 close parentheses end cell row cell not stretchy rightwards double arrow 2 to the power of 2 over 3 end exponent left parenthesis 11 right parenthesis end cell end table$

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parallel

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