Q: How do you simplify a surd in the form A square root B?

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[square root (78)] squared = 78. There is not a surd from for an integer.

Expressed as a surd, the square root of 448 is equal to 8 sqrt(7).

A surd is the square root of an integer (whole number), e.g. square root of 2 is a surd. Pi is not the square root of an integer so not a surd, just an irrational number

Expressed as a surd, the square root of 490 is equal to 7 root 10. Rounded to two decimal places, this is equal to 22.14.

A surd is a square root which cannot be reduced to a whole number: however you need to be able to simplify them.

Expressed as a surd, sqrt(40) x sqrt(50) = 20 sqrt(5).

If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.

That is the only way to write it exactly.

no

Infinite surd is a term used in mathematics. The definition of an infinite surd is a never ending irrational number with an exact value that would be left in square root form.

Surds are irrational numbers and 27 is a rational number but if you mean the square root of 27 then it is an irrational number and expressed as a surd it is 3 times square root of 3.

Yes the square root of 2 is a surd which is an irrational number that can't be expressed as a fraction.

Expressed as a surd, the square root of 84 is equal to 2 sqrt (21). √84 = √(4 x 21) = √4√21 = 2√21

Expressed as a surd in its simplest form, sqrt(75) - sqrt(48) = sqrt(3).

Yes.

yes

Yes

The square root of 82 cannot be reduced as a surd.

Expressed as a surd in its simplest form, sqrt(605) is equal to 11 sqrt(5). Expressed as a decimal, rounded to two decimal places, this is equal to Â±24.60.

No because it is 3

Expressed as a surd, the square root of 28 is equal to 2 root 7.

Expressed as a surd in its simplest form, sqrt(3/8) is equal to sqrt(6)/4. Expressed as a decimal, rounded to three decimal places, this is equal to 0.612.

sqrt(272) = sqrt(16*17) = 4*sqrt(17)

Expressed as a surd in its simplest form, sqrt(384) = 8 sqrt(6).

Yes. A surd is any irrational number that can be expressed as the root of another number. As pi is a number, although it is a transcendental and hence irrational, the square root of pi is still an irrational number that can be expressed as the square root of another number.

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