Question

product of cube root 7 and square root 5 is ​

Answer 1

Answer:

8575

Step-by-step explanation:

Cube root of 7 = 7×7×7 = 343

Square root of 5 = 5×5 =25

343×25 = 8575

I HOPE IT'S HELPS YOU

Answer 2

Given:

The product of cube root 7 and square root 5.

To find :

The value of $\sqrt[3]{7}$ × $\sqrt[2]{5}$

Solution:

To find the value of two different powers of root values we have to equate it to same root power by using a common multiples of two root powers.

Therefore,

$\sqrt[3]{7}$ × $\sqrt[2]{5}$ = $\sqrt[6]{7^{2} }$ × $\sqrt[6]{5^{3} }$

Where 6 is the multiple value of 3 and 2

$\sqrt[3]{7}$ × $\sqrt[2]{5}$ = $\sqrt[6]{49 }$ × $\sqrt[6]{125 }$

$\sqrt[3]{7}$ × $\sqrt[2]{5}$ = $\sqrt[6]{6125 }$

The product of cube root 7 and square root 5 is $\sqrt[6]{6125 }$

Final answer:

The value of $\sqrt[3]{7}$ × $\sqrt[2]{5}$ =  $\sqrt[6]{6125 }$