Correct option is AGiven:37+130+256−16−9\sqrt{37 + \sqrt{130 + 2\sqrt{56 - \sqrt{16} - \sqrt{9}}}}37+130+256−16−9Solution:37+130+256−16−9\sqrt{37 + \sqrt{130 + 2\sqrt{56 - \sqrt{16} - \sqrt{9}}}}37+130+256−16−9=37+130+256−4−3\sqrt{37 + \sqrt{130 + 2\sqrt{56 - 4 - 3}}}37+130+256−4−3=37+130+249\sqrt{37 + \sqrt{130 + 2\sqrt{49}}}37+130+249=37+130+2×7\sqrt{37 + \sqrt{130 + 2\times 7}}37+130+2×7=37+130+14\sqrt{37 + \sqrt{130 + 14}}37+130+14=37+144\sqrt{37 + \sqrt{144}}37+144=37+12\sqrt{37 + 12}37+12=49=7\sqrt {49}= 749=7Option (a) is right.