Question

Which is equivalent to √50x³ after it has been simplified completely?

Answer 1

Surds 5x√2x  is equivalent to √50x³ after it has been simplified completely.

What is surds in maths?

• When a square root, cube root, or other root symbol is used in an expression, it is known as a surd.
• Irrational numbers cannot be stated accurately in decimal form because their decimals do not finish or recur.
• Surds are used to write irrational numbers precisely.

For this case we have the following expression

√50x³

We can write it as

$\sqrt{25 * 2 * x *x * x }$

$\sqrt{25 * 2 * x^{2} * x}$

We know that

√25 = 5

By power properties we have

√x²  = $x^{\frac{2}{2} }$ = x¹ = x

So simplifying we have

5x√2x

Learn more about Surds

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