Question

Change 2√5√3 in to a pure surd.
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Answer 1

The correct solution is attached here!

Answer 2

Answer:

The pure surd version of the given equation is $(1,200)^{\frac{1}{4} }$

Explanation:

Left-Hand Side:

$2\sqrt{5\sqrt{3} }$

$= 2\sqrt{\sqrt{25*3} }$

$=2\sqrt{\sqrt{75} }$

$=\sqrt{4\sqrt{75} }$

$=\sqrt{\sqrt{16*75} }$

$=\sqrt{\sqrt{1,200} }$

$=(1,200)\frac{1}{4}$

The pure surd version of the given equation is $(1200)^\frac{1}{4}$

Definition/Meaning:

• A pure surd is one in which the entire rational number is enclosed by the radical sign and serves as the radicand.
• In other terms, a surd is referred to as pure or complete if it has no logical factors other than unity.
• This makes 2 1 a pure surd.
• Surds are the square root values in mathematics that cannot be reduced to whole numbers or integers.
• Surds are illogical quantities.

Square Root:

• The value that a number produces when it is multiplied by itself is known as the square root of the number.
• The square root is denoted by the radical sign.
• For instance, 16 Equals 4.
• The root symbol or surds is another name for the radical symbol.

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