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If the six-digit number 214x35 is completely divisible by 9, find the value of "x". Also check whether the new num formed using this value of x is divisible by 3.

Mathematics

ScanSolve AI Answer

Answer

30\text{30}

Step-by-step solution

4 steps

Here's how to solve question 5:

  1. Interpret the notation.

    The notation "3/2163/216" and "3/1253/125" in the context of finding values, especially with other root questions on the paper, most likely refers to the cube root. So, the question is to find the value of 2163×1253\sqrt[3]{216} \times \sqrt[3]{125}.

  2. Calculate the cube root of 216.

    2163=6\sqrt[3]{216} = 6

    This is because 6×6×6=2166 \times 6 \times 6 = 216.

  3. Calculate the cube root of 125.

    1253=5\sqrt[3]{125} = 5

    This is because 5×5×5=1255 \times 5 \times 5 = 125.

  4. Multiply the results from Step 2 and Step 3.

    6×5=306 \times 5 = 30

    The value of 2163×1253\sqrt[3]{216} \times \sqrt[3]{125} is 30.

    The final answer is 30\text{30}.

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