What is the simplified form of the following expression? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0 2

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2 years ago

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What is the simplified form of the following expression? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0 2

(RootIndex 4 StartRoot 16 x EndRoot) minus 2 (RootIndex 4 StartRoot 2 y EndRoot) 3 (RootIndex 4 StartRoot 81 x EndRoot) minus 4 (RootIndex 4 StartRoot 32 y EndRoot) 5 (RootIndex 4 StartRoot x EndRoot) minus 4 (RootIndex 4 StartRoot 32 y EndRoot) 5 (RootIndex 4 StartRoot x EndRoot) minus 6 (RootIndex 4 StartRoot 2 y EndRoot) 13 (RootIndex 4 StartRoot x EndRoot) minus 10 (RootIndex 4 StartRoot 2 y EndRoot) 35 (RootIndex 4 StartRoot x EndRoot) minus 18 (RootIndex 4 StartRoot 2 y EndRoot).

Mathematics

2 answers:

finlep [7] · Answer 1 · 2022-11-04T17:40:37+03:00

To solve such questions we need to know more about expression.

<h2 /><h2>Expression </h2>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.

<h2 /><h2 /><h2>Given to us,</h2>

$2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-16\sqrt[4]{2y}+13\sqrt[4]{4}-10\sqrt[4]{2y}+35\sqrt[4]{x}-18\sqrt[4]{2y}$

rearranging we get,

$=2\sqrt[4]{16x}+3\sqrt[4]{81x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{4}+35\sqrt[4]{x}-2\sqrt[4]{2y}-4\sqrt[4]{32y}-4\sqrt[4]{32y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}$

we know that,

$\sqrt[4]{81}=3\\\sqrt[4]{16}=2\\\sqrt[4]{32}=2\sqrt[4]{2}\\$

therefore,

$=4\sqrt[4]{x}+9\sqrt[4]{x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{x}+35\sqrt[4]{x}-2\sqrt[4]{2y}-8\sqrt[4]{2y}-8\sqrt[4]{2y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}$