Question

find the cube root of 15,625 by prime factorisation method.​

Answer 1

Step-by-step explanation:

done by prime factorization . hope it helped you.

Answer 2

Answer:

$\huge\sf\purple{Answer-:}$

Step-by-step explanation:

• Kindly Scrool Right For More Solution.

• We can express 15625 as the product of prime factors, we will get:

$15625=5×5×5×5×5×515625=5×5×5×5×5×5$

•  In the next step we have to group the numbers in three with the same numbers in one group. Hence, we obtain:

$\tt\large\underline{15625=(5×5×5)×(5×5×5)15625=(5×5×5)×(5×5×5)}$

• Now, take the cube root of 15625, then take one factor from each group we get:

$\tt\large\underline{ \ \sqrt[3]{15625} = 5 \times 5 }$

• Next, we have to multiply the factors to get the cube root of 15625. Hence we will get:

$\tt\large\underline\red{ \sqrt[3]{15625} = 25 }$

• Hence, we can say that 15625 is a perfect cube.
• Therefore, the required cube root of 15625 is 25.

Hope it Helps...