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Menthal map Surd,Roots and Radicals, Surd, Formula, Roots, Definition,…
Menthal map Surd,Roots and Radicals
Definition
A surd is an Expression that includes a square root,cube root or other root symbol.
Example
For example the square root of 3 and the cube root of 2 are both surds. 5 ≈ 2.23606 \sqrt{5} \approx 2.23606 5 ≈2.23606, which is an irrational number. The square root of 5 is a surd.
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Use
Surds are used to write irrational numbers precisely.In real life Surds are used to make sure that important calculations are precise,for example by engineers building Bridges.
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The root of a number in math is a number that when multiplied by itself produces the original number.
the square root of 49 is 7 because 7×7=49. In this case, because 7 is multiplied by itself twice to produce 49, we call 7 the square root of 49.
A perfect square root exists for a perfect square number only. The square root of an even perfect square is even. An odd perfect square will have an odd square root. A perfect square cannot be negative and hence the square root of a negative number is not defined.
Definition
A radical expression is an expression containing a square root. Radicand is a number or expression inside the radical symbol. Radical equation is An equation containing radical expressions with variables in the radicands.
Example
√2,3√72,√2x+7, and 4√1p. 2 , 72 3 , 2 x + 7
All exponents in the radicand must be less than the index. Any exponents in the radicand can have no factors in common with the index. No fractions appear under a radical. No radicals appear in the denominator of a fraction.
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