State which of the following are surds- Justify nbsp- - 16 - - 81 - - 256 - - 51 -

The correct option is D √( 51 ) Surds are numbers left in root form to express its exact value.As √(51) cannot be expressed without root form. Hence ...

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Standard IX

Mathematics

Surds

State which o...

Question

State which of the following are surds. Justify

\sqrt[3]{51}

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\sqrt[4]{16}

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\sqrt[4]{81}

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\sqrt{256}

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Solution

The correct option is D $\sqrt[3]{51}$
Surds are numbers left in root form to express its exact value.

As $\sqrt[3]{51}$ cannot be expressed without root form. Hence, it is a surd.

Also, $\sqrt[4]{16} = 2, \sqrt[4]{81} = 3, \sqrt{256} = 16$ . So, they are not surd.

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Similar questions

Q. State which of the following are surds. Justify.

(i)

\sqrt[3]{51}

(ii)

\sqrt[4]{16}

(iii)

\sqrt[5]{81}

(iv)

\sqrt{256}

(v)

\sqrt[3]{64}

(vi)

\sqrt{\frac{22}{7}}

Q. State which of the following are pure surds and mixed surds:

\frac{3}{4} \sqrt{8}

Q. Evaluate

{[\frac{256}{81}]}^{3 / 4}

Q. State which of the following are surds. Justify.

(i)

\sqrt[3]{7}

(ii)

\sqrt[4]{0.16}

(iii)

\sqrt[]{\sqrt[3]{8}}

(iv)

\sqrt{- 5}

(v)

\frac{1}{\sqrt{15}}

(vi)

\sqrt{0.333}

(vii)

\sqrt{576}

(viii)

\sqrt{\frac{5}{4}}

(ix)

\sqrt{\frac{22}{7}}

(x)

\sqrt[3]{2 + \sqrt{9}}

Q. Which of the following is/are surd (s) ?

1)

\sqrt[5]{17}

\sqrt[3]{29}

\sqrt{16}

\sqrt{5}

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State which of the following are surds. Justify

The correct option is D 3√51Surds are numbers left in root form to express its exact value.As 3√51 cannot be expressed without root form. Hence, it is a surd.Also, 4√16=2,4√81=3,√256=16. So, they are not surd.

The correct option is D $\sqrt[3]{51}$
Surds are numbers left in root form to express its exact value.

As $\sqrt[3]{51}$ cannot be expressed without root form. Hence, it is a surd.

Also, $\sqrt[4]{16} = 2, \sqrt[4]{81} = 3, \sqrt{256} = 16$ . So, they are not surd.