Question

{46}^{6.5} \div ((47)^{1.5} \times 47 ^{2} ) = ( \sqrt{47)^x​

Answer 1

Answer:

7²=49

6²=36

47 is just 2 off 49

Try 6.9²

=(7–0.1)²=49–1.4+0.01=47.6+0.01...too big

Try 6.8²=(7–0.2)²=49–2.8+0.04=46.2+0.04...too small

Try 6.85²=(7–0.15)²=49–2.1+0.0225=46.9+0.0225=46.9225 ...wee bit too small

Try 6.86²=(7–0.14)²=49–1.96+0.0196=47.04+0.0196=47.0596

Try until ur satisfied ...

∴√47≈<6.86