State the order of the surds given below-i 73 ii 512 iii 104 iv 39 v 183

#160;i #160;73=713 The order of the surd is 3. ii #160;5 #160;12=5 #215;1212 The order of the surd nbsp;is 2. #160;iii #160;104=1014 The ...

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Standard XII

Mathematics

Order of a Differential Equation

State the ord...

Question

State the order of the surds given below.

$(i) \sqrt[3]{7} (ii) 5 \sqrt{12} (iii) \sqrt[4]{10} (iv) \sqrt{39} (v) \sqrt[3]{18}$

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Solution

$(i) \sqrt[3]{7} = 7^{\frac{1}{3}}$

The order of the surd is 3.

$(ii) 5 \sqrt{12} = 5 \times 12^{\frac{1}{2}}$

The order of the surd is 2.

$(iii) \sqrt[4]{10} = 10^{\frac{1}{4}}$

The order of the surd is 4.

$(iv) \sqrt{39} = 39^{\frac{1}{2}}$

The order of the surd is 2.

$(v) \sqrt[3]{18} = 18^{\frac{1}{3}}$

The order of the surd is 3.

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

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State the order of the surds given below. i 73 ii 5 12 iii 104 iv 39 v 183

i 73=713 The order of the surd is 3. ii 5 12=5×1212 The order of the surd is 2. iii 104=1014 The order of the surd is 4. iv 39=3912 The order of the surd is 2. v 183=1813 The order of the surd is 3.

State the order of the surds given below.

$(i) \sqrt[3]{7} (ii) 5 \sqrt{12} (iii) \sqrt[4]{10} (iv) \sqrt{39} (v) \sqrt[3]{18}$