Question

$\sqrt{240} + \sqrt{60 } - \sqrt{135} = ?$
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Answer 1

$\sqrt{240 } = \sqrt{16 \times 15} = \sqrt[4]{15}$

$\sqrt{60} = \sqrt{4 \times 15} = \sqrt[2]{15}$

$\sqrt{135} = \sqrt{9 \times 15} = \sqrt[3]{15}$

$\sqrt[4]{15} + \sqrt[2]{15} - \sqrt[3]{15}$

$= \sqrt[6]{15} - \sqrt[3]{15} = \sqrt[3]{15}$

Answer 2

Q. √240 + √60 - √ 135 = ???

Ans :-

= √240 = √16 × 15 = ⁴√15

= √60 = √ 4 × 15 = ²√15

= √135 = √9 × 15 = ³√15

= ⁴√15 + ²√15 - ³√15

= ⁶√15 - ³√15 = ³√15