Question

Find the value of V10+
27+765 +256,​

Answer 1

Answer:-

4

Explanation:-

To Find:-

value of,

$\sqrt{10+ \sqrt{27+ \sqrt{65+\sqrt{256}}}}$

Solution:-

${\rightarrow} \: \sqrt{10+ \sqrt{27+ \sqrt{65+\sqrt{256}}}}$

${\rightarrow}\: \sqrt{10+ \sqrt{27+ \sqrt{65+16}}}$

${\rightarrow}\: \sqrt{10+ \sqrt{27+ \sqrt{81}}}$

${\rightarrow}\: \sqrt{10+ \sqrt{27+ 9}}$

${\rightarrow}\: \sqrt{10+ \sqrt{36}}$

${\rightarrow}\: \sqrt{10+ 6}$

${\rightarrow}\: \sqrt{16}$

${\rightarrow} \: 4$

Answer 2

Step-by-step explanation:

√256 = 16

So, = √(10+√(27+√(65 +16)

= √(10+√(27+√(81)

√81 = 9

So, = √(10 +√(27 + 9)

=√(10 +√(36)

√36 = 6

= √(10 + 6) = √16

=4