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surd    
a. 无理数的,不尽根的,清音的
n. 无理数,不尽根数,清音

无理数的,不尽根的,清音的无理数,不尽根数,清音

surd
adj 1: produced without vibration of the vocal cords; "unvoiced
consonants such as `p' and `k' and `s'" [synonym: {unvoiced},
{voiceless}, {surd}, {hard}] [ant: {soft}, {sonant},
{voiced}]
n 1: a consonant produced without sound from the vocal cords
[synonym: {surd}, {voiceless consonant}]

Surd \Surd\, n. (Math.)
1. A quantity which can not be expressed by rational numbers;
thus, [root]2 is a surd.
[1913 Webster]

2. (Phon.) A surd element of speech. See {Surd}, a., 4.
[1913 Webster]


Surd \Surd\, a. [L. surdus deaf (whence the meaning, deaf to
reason, irrational), perhaps akin to E. swart. Cf.
{Sordine}.]
1. Net having the sense of hearing; deaf. [Obs.] "A surd . .
. generation." --Sir T. Browne.
[1913 Webster]

2. Unheard. [Obs.] --Kenrick.
[1913 Webster]

3. (Math.) Involving surds; not capable of being expressed in
rational numbers; radical; irrational; as, a surd
expression or quantity; a surd number.
[1913 Webster]

4. (Phonetics) Uttered, as an element of speech, without
tone, or proper vocal sound; voiceless; unintonated;
nonvocal; atonic; whispered; aspirated; sharp; hard, as f,
p, s, etc.; -- opposed to sonant. See Guide to
Pronunciation, [sect][sect]169, 179, 180.
[1913 Webster]

202 Moby Thesaurus words for "surd":
Gaussian integer, accented, algebraic number, algorismic,
algorithmic, aliquot, allophone, alveolar, apical, apico-alveolar,
apico-dental, articulated, articulation, aspiration, assimilated,
assimilation, back, barytone, bilabial, broad, cacuminal, cardinal,
cardinal number, central, cerebral, check, checked, close,
complex number, consonant, consonantal, continuant, deaf,
deaf and dumb, deaf-eared, deaf-mute, deafened, decimal,
defective number, dental, differential, digital, diphthong,
dissimilated, dissimilation, dorsal, dull-eared, earless,
epenthetic vowel, even, even number, explosive, exponential,
figural, figurate, figurative, finite, finite number, flat,
fraction, fractional, front, glide, glossal, glottal,
glottalization, guttural, hard, hard of hearing, heavy, high,
imaginary, imaginary number, impair, impossible, infinite,
infinity, integer, integral, intonated, irrational,
irrational number, labial, labialization, labiodental, labiovelar,
laryngeal, lateral, lax, light, lingual, liquid, logarithmic,
logometric, low, manner of articulation, mid, mixed number,
modification, monophthong, monophthongal, morphophoneme, mute,
muted, narrow, nasal, nasalized, negative, numeral, numerary,
numerative, numeric, occlusive, odd, open, ordinal, oxytone, pair,
palatal, palatalized, parasitic vowel, peak, pharyngeal,
pharyngealization, pharyngealized, phone, phoneme, phonemic,
phonetic, phonic, pitch, pitched, plosive, polygonal number,
positive, possible, posttonic, prime, prime number,
prothetic vowel, pure imaginary, radical, rational,
rational number, real, real number, reciprocal, rectangular number,
retroflex, round number, rounded, segmental phoneme, semivowel,
serial number, soft, sonant, sonority, speech sound, stone-deaf,
stop, stopped, stressed, strong, stunned, submultiple, syllabic,
syllabic nucleus, syllabic peak, syllable, tense, thick,
thick of hearing, throaty, tonal, tone-deaf, tonic, transcendental,
transcendental number, transfinite number, transition sound,
triphthong, twangy, unaccented, unhearing, unrounded, unstressed,
velar, vocable, vocalic, vocoid, voice, voiced, voiced sound,
voiceless, voiceless sound, voicing, vowel, vowellike, weak,
whole number, wide, word-deaf


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  • Surds - Math is Fun
    When we can't simplify a number to remove a square root (or cube root etc) then it is a surd Have a look at these examples (including cube
  • Surds and Indices - Definition, Types, Rules, and Practice . . . - Cuemath
    Surd is simply used to refer to a number that does not have a root \(\sqrt 4 \), \(\sqrt[3] 8 \), \(\sqrt 25 \) have roots as answers But \(\sqrt 6 \), \(\sqrt[3]2 \), \(\sqrt20 \) do not have proper roots
  • Surds: Definition, Rules, Types, and Solved Examples
    Definition of a Surd A root of a positive real number is called a surd if we cannot remove the root symbol after simplification Examples of surds: Note that we cannot remove the root symbol from $\sqrt{2}, \sqrt{3}$; so by definition they are surds But $\sqrt{9}$ is not a surd as its value is $3 $ Some Remarks about Surds
  • Surds Definition - BYJUS
    In other words, a surd is a root of the whole number that has an irrational value Consider an example, √2 ≈ 1 414213 It is more accurate if we leave it as a surd √2 Types of Surds The different types of surds are as follows: Simple Surds – A surd that has only one term is called a simple surd Example: √2, √5, …
  • Surds - Introduction, Types, Rules, Properties, Solved . . . - Vedantu
    Surd is a positive real number under the square root even after the simplification Surds give students a platform to use their knowledge of algebra to solve sums, and its theories and rules help them in higher classes to solve complex trigonometry, integration
  • How to Simplify Surds – mathsathome. com
    A surd is written in simplified form when the number inside the root has no square factors For example, √8 can be written as √4 × √2, which equals 2√2 Common square factors include 4, 9, 16, 25 and 36
  • Surd|Definition Meaning - The Story of Mathematics
    A specific type of irrational number that cannot be expressed as a simple fraction is called a surd A square root is represented by the symbol $\sqrt{}$ (square root), which is then followed by a number
  • Surds: Definition, Rules, Properties, Uses and Solved Examples
    Compound surd A compound surd is an algebraic sum or difference of two or more simple surds For example: \(\left ( \sqrt{5}+\sqrt{7} \right ),\left ( \sqrt[3] + \sqrt{6}-\sqrt{7}\right )\) are compound surds Binomial Surd A compound surd that contains exactly two surds is called a binomial surd
  • Surd Definition (Illustrated Mathematics Dictionary) - Math is Fun
    Illustrated definition of Surd: A number that can't be simplified to remove a square root (or cube root etc) Examples: radic;2 (square
  • Surds and Indices (Simplification hack to score 10 10 ) - Logicxonomy
    Surds: A surd is a root of a rational number with an irrational value In other words, when it is a root and irrational, it is surd Surds can not be further simplified into whole numbers or integers Example: \sqrt{2}, \sqrt{3}, \sqrt[3]{5}, \sqrt{\frac{1}{7}}, etc





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