Math, asked by sarangbaghla2856, 5 hours ago

arrange in acsending order 4root3, 6root7, 12root48​

Answers

Answered by gopalpvr
0

Step-by-step explanation:

arrange in acsending order 4root3, 6root7, 12root48

 \sqrt[4]{3}  \:  \sqrt[6]{7}  \:  \sqrt[12]{48}

LCM OF 4,6,12 IS 12

CHANGE THE ORDER OF EACH SURD TI 12

 \sqrt[4]{3}  =  \sqrt[4 \times 3]{ {3}^{3} }  =  \sqrt[12]{27}  -  -  -  - > 1

 \sqrt[6]{7}  =  \sqrt[6 \times2 ]{ {7}^{2} }  =  \sqrt[12]{49}  \:  \:  \:  \:  -  -  -  > 3

 \sqrt[12]{48}  -  -  -  > 2

s

so \: ascending \: order \:  \: is

 \sqrt[4]{3}  <  \sqrt[12]{48}  <  \sqrt[6]{7}

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