Mathematics: Addition and Subtraction of Radical Expression -Salamat

A 4.6Step-by-step explanation: 40/8=5; 23/5=4.6...

Addition and Subtraction of Radical Expression -Salamat

cdyshaylia55

30.03.2021

Given:

The radical expression is

$7\sqrt[3]{8x^2y}+2\sqrt[3]{27x^5y^4}$

To find:

The value of the expression after addition.

Solution:

We have,

$7\sqrt[3]{8x^2y}+2\sqrt[3]{27x^5y^4}$

It can be rewritten as

$=7\sqrt[3]{2^3x^2y}+2\sqrt[3]{3^3x^3x^2y^3y}$

$=7(2)\sqrt[3]{x^2y}+2\sqrt[3]{(3xy)^3x^2y}$

$=14\sqrt[3]{x^2y}+2(3xy)\sqrt[3]{x^2y}$

$=14\sqrt[3]{x^2y}+6xy\sqrt[3]{x^2y}$

Taking out the common factors, we get

$=2\sqrt[3]{x^2y}(7+3xy)$

The value of given expression after addition is $=2\sqrt[3]{x^2y}(7+3xy)$ .

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