Math, asked by t9450810464, 6 months ago

please solve this with full solution please it's urgent​

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Answers

Answered by DibyenduChakraborty
3

Step-by-step explanation:

³√√46656

= ³√216

= 6

or,

³√√46656

= (46656)½.⅓

= (46656)⅙

= (6×6×6×6×6×6)⅙

= 6.

please mark me brainlist......................

Answered by sadhanroydot542
4

Step-by-step explanation:

\bf{\underline{\underline{Question}}}

 \sqrt[3]{ \sqrt{46656} }

\bf{\underline{\underline{To \: Find }}}

 \sqrt[3]{ \sqrt{46656} }

ᴛᴏ sᴏʟᴠᴇ ᴛʜɪs

\bf{\underline{\underline{solution}}}

➡️ғʀɪsᴛ ᴛᴏ ғɪɴᴅ ᴛʜᴇ sǫᴜᴀʀᴇ ᴏғ 46656

 \sqrt{46656}

2|46656

2|23328

2|11664

2|5832

2|2916

2|1458

3|729

3|243

3|81

3|27

3|9

3

\sqrt{46656} = \sqrt{2×2×2×2×2×2×3×3×3×3×3×3}

46656 = 2×2×2×3×3×3 = 216

➡️ sᴇᴄᴏɴᴅʟʏ ᴛᴏ ғɪɴᴅ ᴄᴜʙᴇ

 \sqrt[3]{216}

2|216

2|108

2|54

3|27

3|9

3

 \sqrt[3]{216}  = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \\ 216 = 2 \times 3 = 6

➡️ʜᴇɴᴄᴇ ᴛʜᴇ ᴀɴsᴡᴇʀ ɪs 6

➡️ \sqrt[3]{ \sqrt{46656} }

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