Question

Find the difference between square root of 7569 and cube root of 205379

Answer 1

hey it's so easy solution is 20

Answer 2

Answer:

28

Step-by-step explanation:

We have to find the difference between square root of 7569 and cube root of 205379.

Mathematically, we have to find

$\sqrt{7569}-\sqrt[3]{205379}$

We can rewrite these numbers as

$7569=87^2\\205379=59^3$

Hence, we have

$\sqrt{7569}-\sqrt[3]{205379}\\\\=\sqrt{87^2}-\sqrt[3]{59^3}$

Now, we know the formula

$\sqrt[n]{x^n}=x$

Hence, we have

$\sqrt{7569}-\sqrt[3]{205379}\\\\=87-59\\=28$