Question

what is the value of : cube root of neg.11025 multiply by cube root of 2835

Answer 1

Answer:

$\sqrt[3]{11025}*\sqrt[3]{2835}=315$

Step-by-step explanation:

$11025=3^2*5^2*7^2$

$2835=3^4*5*7$

$\sqrt[3]{11025}*\sqrt[3]{2835}$

$=\sqrt[3]{11025*2835}$

$=\sqrt[3]{3^2*5^2*7^2*3^4*5*7}$

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

$=\sqrt[3]{(3^2)^3*5^3*7^3}$

$=\sqrt[3]{9^3*5^3*7^3}$

$=\sqrt[3]{(9*5*7)^3}$

$=\sqrt[3]{(9*35)^3}$

$=\sqrt[3]{315^3}$

$=315$